id sid eid entity type cana-1119 1 1 1074 CARDINAL cana-1119 2 1 6s CARDINAL cana-1119 2 2 2024 CARDINAL cana-1119 2 3 49 DATE cana-1119 3 1 second ORDINAL cana-1119 3 2 singh1 ORG cana-1119 3 3 saini2 PERSON cana-1119 3 4 sharma4 PRODUCT cana-1119 3 5 kaur5 PERSON cana-1119 4 1 gssdgs khalsa college ORG cana-1119 4 2 patiala-14700 DATE cana-1119 4 3 meetgur111@gmail.com 2 ORG cana-1119 4 4 punjabi university ORG cana-1119 4 5 patiala-147002 DATE cana-1119 5 1 3assistant CARDINAL cana-1119 5 2 iite ORG cana-1119 5 3 gandhinagar GPE cana-1119 5 4 gujarat GPE cana-1119 5 5 parasu@iite.ac.in 4department PERSON cana-1119 5 6 sri dev suman uttarakhand university ORG cana-1119 5 7 dehradun, uttarakhand ORG cana-1119 5 8 5 CARDINAL cana-1119 5 9 punjabi university ORG cana-1119 5 10 patiala-147002 DATE cana-1119 5 11 chatinderkaur@gmail.com ORG cana-1119 6 1 25 CARDINAL cana-1119 6 2 28 CARDINAL cana-1119 6 3 20-07-2024 CARDINAL cana-1119 6 4 1+sin z DATE cana-1119 7 1 second ORDINAL cana-1119 8 1 poisson distribution ORG cana-1119 8 2 fekete szegΓΆ inequality ORG cana-1119 9 1 1 CARDINAL cana-1119 9 2 ∈ β„‚: ORG cana-1119 9 3 1 CARDINAL cana-1119 9 4 taylor PERSON cana-1119 9 5 2 + π‘Ž3𝑧 QUANTITY cana-1119 9 6 3 CARDINAL cana-1119 9 7 ∈ 𝔻 ORG cana-1119 9 8 1 CARDINAL cana-1119 10 1 0 CARDINAL cana-1119 10 2 β„Žβ€²(0 ORG cana-1119 11 1 1 CARDINAL cana-1119 11 2 taylor PERSON cana-1119 12 1 1 +βˆ‘ DATE cana-1119 12 2 2 CARDINAL cana-1119 13 1 0 CARDINAL cana-1119 13 2 1916 DATE cana-1119 13 3 german NORP cana-1119 13 4 ludwig PERSON cana-1119 13 5 1 CARDINAL cana-1119 13 6 ∈ ORG cana-1119 13 7 1074 CARDINAL cana-1119 14 1 6s CARDINAL cana-1119 14 2 2024 CARDINAL cana-1119 14 3 50 CARDINAL cana-1119 15 1 1916 DATE cana-1119 16 1 2 CARDINAL cana-1119 17 1 1985 DATE cana-1119 18 1 69 years DATE cana-1119 18 2 french NORP cana-1119 18 3 louis de branges de bourcia(1985 PERSON cana-1119 18 4 3].before CARDINAL cana-1119 18 5 de branges's PERSON cana-1119 18 6 ∈ ORG cana-1119 19 1 0 CARDINAL cana-1119 19 2 ∈ ORG cana-1119 19 3 0 CARDINAL cana-1119 19 4 ∈ ORG cana-1119 19 5 two CARDINAL cana-1119 19 6 πœ”(𝑧 GPE cana-1119 19 7 πœ”(0 ORG cana-1119 19 8 𝑔(πœ”(𝑧 PERSON cana-1119 20 1 ∈ 𝔻 ORG cana-1119 22 1 minda ORG cana-1119 23 1 4 CARDINAL cana-1119 23 2 two CARDINAL cana-1119 24 1 π‘†βˆ—(πœ™):= PERSON cana-1119 24 2 πœ™(𝑧 PERSON cana-1119 24 3 1 + CARDINAL cana-1119 24 4 πœ™(𝑧 PERSON cana-1119 25 1 1 CARDINAL cana-1119 25 2 0 CARDINAL cana-1119 25 3 1 CARDINAL cana-1119 25 4 β€’ CARDINAL cana-1119 25 5 𝑆𝑒 βˆ— ORG cana-1119 25 6 5 CARDINAL cana-1119 25 7 6 CARDINAL cana-1119 26 1 β€’ CARDINAL cana-1119 26 2 1 + 2 πœ‹2 QUANTITY cana-1119 26 3 1+βˆšπ‘§ 1βˆ’βˆšπ‘§ DATE cana-1119 26 4 2 DATE cana-1119 26 5 7 CARDINAL cana-1119 26 6 1+𝐢𝑧 1+𝐷𝑧 DATE cana-1119 27 1 8 CARDINAL cana-1119 28 1 β€’ CARDINAL cana-1119 28 2 𝑆cosh βˆ— PERSON cana-1119 29 1 1074 CARDINAL cana-1119 30 1 6s CARDINAL cana-1119 30 2 2024 CARDINAL cana-1119 30 3 51 CARDINAL cana-1119 30 4 1 + DATE cana-1119 30 5 𝑆sin βˆ— PERSON cana-1119 30 6 10 CARDINAL cana-1119 30 7 1966-67 DATE cana-1119 31 1 12 CARDINAL cana-1119 31 2 13 CARDINAL cana-1119 31 3 𝑝 β‰₯ 1 and 𝑛 β‰₯ 1 where 𝑝 DATE cana-1119 32 1 π‘Žπ‘›+1 β‹― π‘Žπ‘›+π‘βˆ’1 π‘Žπ‘›+1 π‘Žπ‘›+2 QUANTITY cana-1119 33 1 π‘Žπ‘›+2π‘βˆ’2 DATE cana-1119 34 1 noonan(1976 ORG cana-1119 35 1 14 CARDINAL cana-1119 35 2 15 CARDINAL cana-1119 36 1 π‘Ž3 π‘Ž3 π‘Ž4 PERSON cana-1119 36 2 βˆ’ π‘Ž3 2 PERSON cana-1119 36 3 past many years DATE cana-1119 36 4 second ORDINAL cana-1119 36 5 third ORDINAL cana-1119 36 6 fourth ORDINAL cana-1119 36 7 16 CARDINAL cana-1119 37 1 21 CARDINAL cana-1119 37 2 cho et al PERSON cana-1119 38 1 10 CARDINAL cana-1119 38 2 𝑆sin βˆ— 𝑆sin βˆ— PERSON cana-1119 39 1 1 + π‘§β„Žβ€²(𝑧) β„Ž(𝑧 DATE cana-1119 39 2 25 CARDINAL cana-1119 40 1 31 CARDINAL cana-1119 41 1 π‘†βˆ—πΆsin GPE cana-1119 42 1 π‘§β„Žβ€²(𝑧))β€² CARDINAL cana-1119 42 2 1βˆ’π‘Ÿ DATE cana-1119 42 3 ∈ ORG cana-1119 43 1 π‘§β„Žβ€²(𝑧))β€² CARDINAL cana-1119 44 1 1βˆ’π‘Ÿ CARDINAL cana-1119 44 2 𝐢sin PERSON cana-1119 44 3 π‘§β„Žβ€²(𝑧))β€² CARDINAL cana-1119 45 1 π‘†βˆ—πΆsin(1):= 𝑆sin βˆ— PERSON cana-1119 46 1 1074 CARDINAL cana-1119 47 1 6s CARDINAL cana-1119 47 2 2024 CARDINAL cana-1119 47 3 52 CARDINAL cana-1119 47 4 2 CARDINAL cana-1119 49 1 1 + βˆ‘ β€Šβˆž QUANTITY cana-1119 49 2 ∈ 𝔻 ORG cana-1119 49 3 3 CARDINAL cana-1119 49 4 0 CARDINAL cana-1119 50 1 2.1 CARDINAL cana-1119 51 1 13 CARDINAL cana-1119 51 2 ≀ 2 CARDINAL cana-1119 51 3 ∈ β„• ORG cana-1119 51 4 4 CARDINAL cana-1119 52 1 2| CARDINAL cana-1119 52 2 ∈ β„‚ ORG cana-1119 52 3 5 CARDINAL cana-1119 52 4 ∈ ORG cana-1119 53 1 6 CARDINAL cana-1119 53 2 2| ≀ MONEY cana-1119 54 1 + 2 DATE cana-1119 54 2 2 DATE cana-1119 54 3 0 ≀ 𝛿 ≀ 1 MONEY cana-1119 54 4 4𝛿 CARDINAL cana-1119 54 5 2 CARDINAL cana-1119 54 6 1 ≀ MONEY cana-1119 54 7 7 CARDINAL cana-1119 54 8 2.2.(see[17 CARDINAL cana-1119 54 9 ∈ ORG cana-1119 55 1 2 CARDINAL cana-1119 55 2 8) CARDINAL cana-1119 55 3 4𝑐3 CARDINAL cana-1119 58 1 2)𝑐1π‘₯ CARDINAL cana-1119 58 2 4 CARDINAL cana-1119 58 3 2)𝑐1π‘₯ CARDINAL cana-1119 59 1 9 CARDINAL cana-1119 59 2 3 CARDINAL cana-1119 60 1 3.1 CARDINAL cana-1119 61 1 1 CARDINAL cana-1119 61 2 ≀ 1 CARDINAL cana-1119 61 3 2 CARDINAL cana-1119 61 4 1 2(3 CARDINAL cana-1119 61 5 2π‘Ÿ CARDINAL cana-1119 61 6 1 CARDINAL cana-1119 61 7 8 2(βˆ’2 + DATE cana-1119 61 8 2| CARDINAL cana-1119 61 9 1 2(3 CARDINAL cana-1119 61 10 2π‘Ÿ CARDINAL cana-1119 61 11 1 CARDINAL cana-1119 61 12 2π‘Ÿ CARDINAL cana-1119 62 1 8 2(π‘Ÿ CARDINAL cana-1119 65 1 π‘§β„Žβ€²(𝑧))β€² CARDINAL cana-1119 66 1 1βˆ’π‘Ÿ CARDINAL cana-1119 66 2 π‘§β„Žβ€²(𝑧) β„Ž(𝑧 WORK_OF_ART cana-1119 70 1 1βˆ’π‘Ÿ CARDINAL cana-1119 75 1 1βˆ’π‘Ÿ CARDINAL cana-1119 76 1 10 CARDINAL cana-1119 80 1 1βˆ’π‘Ÿ CARDINAL cana-1119 81 1 1074 CARDINAL cana-1119 82 1 6s CARDINAL cana-1119 82 2 2024 CARDINAL cana-1119 82 3 53 CARDINAL cana-1119 82 4 1 + CARDINAL cana-1119 83 1 2 CARDINAL cana-1119 83 2 1 2 CARDINAL cana-1119 83 3 2π‘Ÿ CARDINAL cana-1119 84 1 18 CARDINAL cana-1119 85 1 21π‘Ÿ2 CARDINAL cana-1119 85 2 20π‘Ÿ + 48 DATE cana-1119 85 3 3π‘Ÿ CARDINAL cana-1119 86 1 2 + 19π‘Ÿ DATE cana-1119 86 2 32 CARDINAL cana-1119 87 1 9 CARDINAL cana-1119 87 2 2(π‘Ÿ3 CARDINAL cana-1119 87 3 24 CARDINAL cana-1119 90 1 384 CARDINAL cana-1119 90 2 1 + CARDINAL cana-1119 90 3 πœ”(𝑧 GPE cana-1119 91 1 πœ”(𝑧 GPE cana-1119 92 1 1 + 𝑐1𝑧 2 + DATE cana-1119 92 2 2 CARDINAL cana-1119 92 3 2 4 DATE cana-1119 93 1 3 CARDINAL cana-1119 93 2 3 + 1 32 DATE cana-1119 93 3 4 + 10𝑐2𝑐1 2 βˆ’ 16𝑐3𝑐1 QUANTITY cana-1119 93 4 12 CARDINAL cana-1119 93 5 11 CARDINAL cana-1119 93 6 12 CARDINAL cana-1119 94 1 2(π‘Ÿβˆ’2 CARDINAL cana-1119 94 2 13 CARDINAL cana-1119 95 1 3𝑐1 CARDINAL cana-1119 95 2 14 CARDINAL cana-1119 95 3 1 288(π‘Ÿβˆ’2)3(6π‘Ÿ2βˆ’17π‘Ÿ+12 CARDINAL cana-1119 96 1 3π‘Ÿ4 CARDINAL cana-1119 96 2 4 + 165𝑐1 DATE cana-1119 97 1 3 + 720𝑐3π‘Ÿ CARDINAL cana-1119 97 2 2 CARDINAL cana-1119 97 3 2016𝑐3π‘Ÿ CARDINAL cana-1119 97 4 1104𝑐1𝑐2π‘Ÿ + 2496𝑐3π‘Ÿ + 48𝑐1 DATE cana-1119 97 5 15 CARDINAL cana-1119 97 6 13 CARDINAL cana-1119 97 7 14 CARDINAL cana-1119 97 8 1 4(3 CARDINAL cana-1119 97 9 2π‘Ÿ CARDINAL cana-1119 98 1 3π‘Ÿ CARDINAL cana-1119 98 2 4(βˆ’2 CARDINAL cana-1119 99 1 1 4(3 CARDINAL cana-1119 99 2 2π‘Ÿ CARDINAL cana-1119 101 1 2| CARDINAL cana-1119 101 2 4(βˆ’2+π‘Ÿ)2 DATE cana-1119 101 3 3.1 CARDINAL cana-1119 102 1 1 2(3 CARDINAL cana-1119 102 2 2π‘Ÿ CARDINAL cana-1119 102 3 1 CARDINAL cana-1119 102 4 8 2(βˆ’2 + DATE cana-1119 102 5 2 CARDINAL cana-1119 102 6 1 4(3βˆ’2π‘Ÿ CARDINAL cana-1119 104 1 16 CARDINAL cana-1119 104 2 2| CARDINAL cana-1119 104 3 1 2(3 CARDINAL cana-1119 104 4 2π‘Ÿ CARDINAL cana-1119 104 5 1 CARDINAL cana-1119 104 6 2π‘Ÿ CARDINAL cana-1119 105 1 8 2(π‘Ÿ CARDINAL cana-1119 105 2 1074 CARDINAL cana-1119 106 1 6s CARDINAL cana-1119 106 2 2024 CARDINAL cana-1119 106 3 54 DATE cana-1119 106 4 3.2 CARDINAL cana-1119 106 5 4(3 MONEY cana-1119 106 6 2π‘Ÿ CARDINAL cana-1119 107 1 + 5π‘Ÿ CARDINAL cana-1119 107 2 8 CARDINAL cana-1119 107 3 + 4𝛿(3 DATE cana-1119 107 4 2π‘Ÿ CARDINAL cana-1119 107 5 2π‘Ÿ CARDINAL cana-1119 107 6 1 2(3 CARDINAL cana-1119 107 7 2π‘Ÿ CARDINAL cana-1119 107 8 2π‘Ÿ CARDINAL cana-1119 107 9 13π‘Ÿ + 16 4(3 DATE cana-1119 107 10 2π‘Ÿ CARDINAL cana-1119 107 11 1 4(3 CARDINAL cana-1119 107 12 2π‘Ÿ CARDINAL cana-1119 107 13 + 5π‘Ÿ CARDINAL cana-1119 107 14 8 CARDINAL cana-1119 107 15 + 4𝛿(3 DATE cana-1119 107 16 2π‘Ÿ CARDINAL cana-1119 107 17 13π‘Ÿ + 16 DATE cana-1119 107 18 4(3 CARDINAL cana-1119 107 19 2π‘Ÿ CARDINAL cana-1119 108 1 16 CARDINAL cana-1119 108 2 2 CARDINAL cana-1119 108 3 1 4(3βˆ’2π‘Ÿ CARDINAL cana-1119 110 1 17 CARDINAL cana-1119 110 2 2 CARDINAL cana-1119 110 3 1 4(3 CARDINAL cana-1119 110 4 2π‘Ÿ CARDINAL cana-1119 112 1 3.1 CARDINAL cana-1119 112 2 17 CARDINAL cana-1119 112 3 4(3 MONEY cana-1119 112 4 2π‘Ÿ CARDINAL cana-1119 113 1 + 5π‘Ÿ CARDINAL cana-1119 113 2 8 CARDINAL cana-1119 113 3 + 4𝛿(3 DATE cana-1119 113 4 2π‘Ÿ CARDINAL cana-1119 113 5 2π‘Ÿ CARDINAL cana-1119 113 6 1 2(3 CARDINAL cana-1119 113 7 2π‘Ÿ CARDINAL cana-1119 113 8 2π‘Ÿ CARDINAL cana-1119 113 9 13π‘Ÿ + 16 4(3 DATE cana-1119 113 10 2π‘Ÿ CARDINAL cana-1119 113 11 1 4(3 CARDINAL cana-1119 113 12 2π‘Ÿ CARDINAL cana-1119 113 13 + 5π‘Ÿ CARDINAL cana-1119 113 14 8 CARDINAL cana-1119 113 15 + 4𝛿(3 DATE cana-1119 113 16 2π‘Ÿ CARDINAL cana-1119 113 17 13π‘Ÿ + 16 DATE cana-1119 113 18 4(3 CARDINAL cana-1119 113 19 2π‘Ÿ CARDINAL cana-1119 113 20 poisson ORG cana-1119 113 21 1 CARDINAL cana-1119 113 22 2 CARDINAL cana-1119 113 23 3 CARDINAL cana-1119 113 24 4 CARDINAL cana-1119 114 1 5 CARDINAL cana-1119 117 1 17 CARDINAL cana-1119 117 2 𝑧):= PRODUCT cana-1119 117 3 πœ‚π‘›βˆ’1 ORG cana-1119 118 1 ∈ β„‚ ORG cana-1119 118 2 0 CARDINAL cana-1119 120 1 g. murugusundaramoorthy PERSON cana-1119 121 1 23 CARDINAL cana-1119 121 2 24 DATE cana-1119 121 3 1074 CARDINAL cana-1119 122 1 6s CARDINAL cana-1119 122 2 2024 CARDINAL cana-1119 122 3 55 CARDINAL cana-1119 123 1 πœ‚π‘›βˆ’1 ORG cana-1119 125 1 πœ‚π‘›βˆ’1 ORG cana-1119 126 1 two CARDINAL cana-1119 127 1 poisson distribution π‘†βˆ—πΆsin(π‘Ÿ ORG cana-1119 127 2 ΞΈ):= PERSON cana-1119 127 3 [ 𝑧[π‘ƒπœ‚β„Ž(𝑧)]β€² CARDINAL cana-1119 128 1 1βˆ’π‘Ÿ CARDINAL cana-1119 128 2 3.3 CARDINAL cana-1119 129 1 0 ≀ MONEY cana-1119 129 2 ∈ β„‚ ORG cana-1119 129 3 ∈ ORG cana-1119 130 1 2 + DATE cana-1119 130 2 3 + DATE cana-1119 130 3 4 + DATE cana-1119 131 1 2| CARDINAL cana-1119 131 2 1 2(3 CARDINAL cana-1119 133 1 max PERSON cana-1119 133 2 1 CARDINAL cana-1119 133 3 3π‘Ÿ2 CARDINAL cana-1119 133 4 3π‘Ÿ 2(π‘Ÿ QUANTITY cana-1119 134 1 2)2ΞΈ2 2 DATE cana-1119 135 1 ∈ ORG cana-1119 136 1 2 + DATE cana-1119 136 2 3 + DATE cana-1119 136 3 4 + DATE cana-1119 136 4 5 + QUANTITY cana-1119 136 5 1βˆ’π‘Ÿ CARDINAL cana-1119 136 6 1 + CARDINAL cana-1119 136 7 𝑀(𝑧 GPE cana-1119 136 8 [ 𝑧[π‘ƒπœ‚β„Ž(𝑧)]β€² π‘ƒπœ‚β„Ž(𝑧 CARDINAL cana-1119 137 1 𝑧(π‘ƒπœ‚β„Ž(𝑧))β€²] β€² ORG cana-1119 137 2 1βˆ’π‘Ÿ DATE cana-1119 137 3 1 + DATE cana-1119 139 1 2 CARDINAL cana-1119 139 2 1 2 CARDINAL cana-1119 139 3 2ΞΈ2 CARDINAL cana-1119 139 4 2π‘Ÿ CARDINAL cana-1119 140 1 2 + 11π‘Ÿ DATE cana-1119 140 2 18 CARDINAL cana-1119 140 3 3ΞΈ2 CARDINAL cana-1119 141 1 21π‘Ÿ2 CARDINAL cana-1119 141 2 20π‘Ÿ + 48 DATE cana-1119 142 1 3π‘Ÿ CARDINAL cana-1119 143 1 2 + 19π‘Ÿ DATE cana-1119 143 2 32 CARDINAL cana-1119 143 3 9 CARDINAL cana-1119 143 4 1 + CARDINAL cana-1119 143 5 𝑀(𝑧 GPE cana-1119 143 6 1074 CARDINAL cana-1119 144 1 6s CARDINAL cana-1119 144 2 2024 CARDINAL cana-1119 144 3 56 CARDINAL cana-1119 144 4 1 + 𝑐1𝑧 2 + DATE cana-1119 144 5 2 CARDINAL cana-1119 144 6 2 4 DATE cana-1119 145 1 3 CARDINAL cana-1119 145 2 3 + 1 32 DATE cana-1119 145 3 4 + 10𝑐2𝑐1 2 βˆ’ 16𝑐3𝑐1 QUANTITY cana-1119 145 4 5 CARDINAL cana-1119 145 5 480𝑐2𝑐1 3 + 1200𝑐3𝑐1 DATE cana-1119 145 6 2𝑐1 CARDINAL cana-1119 146 1 1920𝑐4𝑐1 CARDINAL cana-1119 149 1 2 CARDINAL cana-1119 149 2 3𝑐1 CARDINAL cana-1119 149 3 2π‘Ÿ2 CARDINAL cana-1119 149 4 βˆ’ 4𝑐2π‘Ÿ 2 βˆ’ 3𝑐1 ORG cana-1119 149 5 2π‘Ÿ CARDINAL cana-1119 149 6 2)2(2π‘Ÿ CARDINAL cana-1119 149 7 1 CARDINAL cana-1119 149 8 2)3ΞΈ4(6π‘Ÿ 2 DATE cana-1119 149 9 17π‘Ÿ + 12 DATE cana-1119 150 1 3π‘Ÿ4 CARDINAL cana-1119 150 2 4 + 165𝑐1 DATE cana-1119 150 3 3π‘Ÿ3𝑧 CARDINAL cana-1119 150 4 3 + 720𝑐3π‘Ÿ QUANTITY cana-1119 150 5 3 CARDINAL cana-1119 150 6 250𝑐1 CARDINAL cana-1119 151 1 2 CARDINAL cana-1119 151 2 2016𝑐3π‘Ÿ CARDINAL cana-1119 151 3 1104𝑐1𝑐2π‘Ÿ + 2496𝑐3π‘Ÿ + 48𝑐1 DATE cana-1119 151 4 19 CARDINAL cana-1119 152 1 1βˆ’π‘Ÿ CARDINAL cana-1119 153 1 1 + CARDINAL cana-1119 153 2 𝑀(𝑧 GPE cana-1119 153 3 2 CARDINAL cana-1119 153 4 1 4(3βˆ’2π‘Ÿ)ΞΈ3 CARDINAL cana-1119 154 1 2(4𝛿(3βˆ’2π‘Ÿ)ΞΈ3+(3π‘Ÿ 2βˆ’3π‘Ÿ)ΞΈ2 2π‘Ÿ QUANTITY cana-1119 154 2 4(π‘Ÿβˆ’2)2ΞΈ2 CARDINAL cana-1119 154 3 20 CARDINAL cana-1119 154 4 3.1 CARDINAL cana-1119 155 1 2| CARDINAL cana-1119 155 2 1 2(3 CARDINAL cana-1119 156 1 max PERSON cana-1119 156 2 1 CARDINAL cana-1119 156 3 3π‘Ÿ2 CARDINAL cana-1119 156 4 3π‘Ÿ 2(π‘Ÿ QUANTITY cana-1119 156 5 2)2ΞΈ2 2 DATE cana-1119 156 6 3.4 CARDINAL cana-1119 157 1 0 ≀ MONEY cana-1119 158 1 2 + DATE cana-1119 158 2 3 + DATE cana-1119 158 3 4 + DATE cana-1119 158 4 5 +β‹― DATE cana-1119 158 5 ∈ ORG cana-1119 158 6 4(3 CARDINAL cana-1119 158 7 8 CARDINAL cana-1119 158 8 + 4𝛿(3 DATE cana-1119 159 1 2 4(3 CARDINAL cana-1119 159 2 2π‘Ÿ)ΞΈ3 CARDINAL cana-1119 159 3 1 2(3 CARDINAL cana-1119 159 4 4(3 CARDINAL cana-1119 159 5 2 ≀ MONEY cana-1119 159 6 13π‘Ÿ + 16)ΞΈ2 DATE cana-1119 159 7 2 4(3 CARDINAL cana-1119 159 8 2π‘Ÿ)ΞΈ3 CARDINAL cana-1119 159 9 1 4(3 CARDINAL cana-1119 159 10 8 CARDINAL cana-1119 159 11 + 4𝛿(3 DATE cana-1119 159 12 13π‘Ÿ + 16)ΞΈ2 DATE cana-1119 159 13 2 4(3 CARDINAL cana-1119 160 1 20 CARDINAL cana-1119 160 2 3.1 CARDINAL cana-1119 161 1 second ORDINAL cana-1119 161 2 3.5 CARDINAL cana-1119 162 1 ∈ ORG cana-1119 162 2 1 4(3 CARDINAL cana-1119 162 3 2π‘Ÿ)2 CARDINAL cana-1119 162 4 1074 CARDINAL cana-1119 163 1 6s CARDINAL cana-1119 163 2 2024 CARDINAL cana-1119 163 3 57 DATE cana-1119 164 1 15 CARDINAL cana-1119 164 2 π‘Ž4 ORG cana-1119 164 3 1 CARDINAL cana-1119 164 4 2)3(6π‘Ÿ2 CARDINAL cana-1119 167 1 3π‘Ÿ4 CARDINAL cana-1119 167 2 4 + 165𝑐1 DATE cana-1119 167 3 3 + 720𝑐3π‘Ÿ QUANTITY cana-1119 167 4 3 CARDINAL cana-1119 167 5 2 CARDINAL cana-1119 167 6 2016𝑐3π‘Ÿ CARDINAL cana-1119 167 7 + 48𝑐1 DATE cana-1119 167 8 1152𝑐3 CARDINAL cana-1119 167 9 21 CARDINAL cana-1119 167 10 13 CARDINAL cana-1119 167 11 14 CARDINAL cana-1119 167 12 15 CARDINAL cana-1119 167 13 βˆ’ π‘Ž3 2 PERSON cana-1119 167 14 1 2304 CARDINAL cana-1119 167 15 2(21π‘Ÿ3 CARDINAL cana-1119 168 1 77π‘Ÿ2 CARDINAL cana-1119 169 1 36 CARDINAL cana-1119 169 2 3 CARDINAL cana-1119 170 1 4 CARDINAL cana-1119 171 1 4(173π‘Ÿ5 CARDINAL cana-1119 174 1 3 CARDINAL cana-1119 175 1 4 CARDINAL cana-1119 175 2 2)(3π‘Ÿ DATE cana-1119 175 3 4 CARDINAL cana-1119 175 4 144𝑐2 2 DATE cana-1119 175 5 3 CARDINAL cana-1119 175 6 𝑐:= ORG cana-1119 175 7 βˆ’ π‘Ž3 2 PERSON cana-1119 175 8 1 2304 CARDINAL cana-1119 175 9 96(1 CARDINAL cana-1119 176 1 βˆ’ |π‘₯|2)(4 βˆ’ EVENT cana-1119 177 1 2)(3π‘Ÿ DATE cana-1119 179 1 48𝑐2 CARDINAL cana-1119 179 2 2)(3π‘Ÿ DATE cana-1119 179 3 4 CARDINAL cana-1119 179 4 3 CARDINAL cana-1119 181 1 12π‘₯(4 CARDINAL cana-1119 182 1 6π‘Ÿ CARDINAL cana-1119 182 2 13π‘Ÿ27π‘Ÿ3 CARDINAL cana-1119 182 3 3 CARDINAL cana-1119 182 4 4 CARDINAL cana-1119 187 1 2424π‘Ÿ + 1152 DATE cana-1119 188 1 3 CARDINAL cana-1119 188 2 4 CARDINAL cana-1119 188 3 𝑏 ORG cana-1119 188 4 96(1 CARDINAL cana-1119 188 5 2)(3π‘Ÿ DATE cana-1119 188 6 4 CARDINAL cana-1119 188 7 48𝑐2 CARDINAL cana-1119 188 8 2)(3π‘Ÿ DATE cana-1119 188 9 4 CARDINAL cana-1119 188 10 3 CARDINAL cana-1119 190 1 6π‘Ÿ CARDINAL cana-1119 190 2 3 CARDINAL cana-1119 190 3 4 CARDINAL cana-1119 194 1 2424π‘Ÿ + 1152 DATE cana-1119 195 1 3 CARDINAL cana-1119 195 2 3π‘Ÿ CARDINAL cana-1119 196 1 1 2304 CARDINAL cana-1119 196 2 96(1 CARDINAL cana-1119 196 3 2)(3π‘Ÿ DATE cana-1119 196 4 4 CARDINAL cana-1119 196 5 48𝑐2 CARDINAL cana-1119 196 6 2)(3π‘Ÿ DATE cana-1119 196 7 4 CARDINAL cana-1119 196 8 3 CARDINAL cana-1119 198 1 6π‘Ÿ CARDINAL cana-1119 198 2 3 CARDINAL cana-1119 198 3 4 CARDINAL cana-1119 202 1 2424π‘Ÿ + 1152 DATE cana-1119 203 1 3 CARDINAL cana-1119 203 2 4 CARDINAL cana-1119 206 1 1 2304 CARDINAL cana-1119 206 2 2)(3π‘Ÿ DATE cana-1119 206 3 4 CARDINAL cana-1119 206 4 48𝑐2 CARDINAL cana-1119 206 5 2)(3π‘Ÿ DATE cana-1119 206 6 4 CARDINAL cana-1119 206 7 3 CARDINAL cana-1119 209 1 6π‘Ÿ CARDINAL cana-1119 209 2 3 CARDINAL cana-1119 209 3 4 CARDINAL cana-1119 209 4 0 ≀ MONEY cana-1119 211 1 0 CARDINAL cana-1119 211 2 1 CARDINAL cana-1119 211 3 1 CARDINAL cana-1119 211 4 1074 CARDINAL cana-1119 212 1 6s CARDINAL cana-1119 212 2 2024 CARDINAL cana-1119 212 3 58 DATE cana-1119 212 4 1 CARDINAL cana-1119 212 5 1 2304 CARDINAL cana-1119 212 6 4 CARDINAL cana-1119 212 7 48𝑐2 CARDINAL cana-1119 212 8 2)(3π‘Ÿ DATE cana-1119 212 9 4 CARDINAL cana-1119 212 10 3 CARDINAL cana-1119 215 1 6π‘Ÿ CARDINAL cana-1119 215 2 3 CARDINAL cana-1119 215 3 4 CARDINAL cana-1119 216 1 2424π‘Ÿ + 1152 DATE cana-1119 217 1 3 CARDINAL cana-1119 217 2 4 CARDINAL cana-1119 218 1 𝐸′(𝑐 PERSON cana-1119 219 1 𝑐3(βˆ’5π‘Ÿ5 + 150π‘Ÿ4 MONEY cana-1119 221 1 1896π‘Ÿ + 576 DATE cana-1119 222 1 24𝑐(π‘Ÿ CARDINAL cana-1119 222 2 2)2(9π‘Ÿ3 CARDINAL cana-1119 222 3 29π‘Ÿ2 + 30π‘Ÿ DATE cana-1119 222 4 12 CARDINAL cana-1119 222 5 576(3 CARDINAL cana-1119 222 6 2π‘Ÿ)2(π‘Ÿ CARDINAL cana-1119 222 7 4 CARDINAL cana-1119 224 1 0 CARDINAL cana-1119 225 1 9π‘Ÿ3 CARDINAL cana-1119 226 1 12 24(3 CARDINAL cana-1119 226 2 2π‘Ÿ)2(π‘Ÿ CARDINAL cana-1119 226 3 4 CARDINAL cana-1119 227 1 βˆ’ π‘Ž3 2| ≀ 1 4(3 PERSON cana-1119 227 2 2π‘Ÿ)2 CARDINAL cana-1119 227 3 0):= 𝐢sin PERSON cana-1119 227 4 1 CARDINAL cana-1119 227 5 ∈ ORG cana-1119 227 6 𝑆sin βˆ— PERSON cana-1119 228 1 0 ≀ π‘Ÿ MONEY cana-1119 228 2 fekete ORG cana-1119 228 3 second ORDINAL cana-1119 229 1 fekete ORG cana-1119 230 1 ∈ ORG cana-1119 231 1 1 CARDINAL cana-1119 232 1 32 CARDINAL cana-1119 233 1 5 CARDINAL cana-1119 234 1 1074 CARDINAL cana-1119 235 1 6s CARDINAL cana-1119 235 2 2024 CARDINAL cana-1119 235 3 59 CARDINAL cana-1119 235 4 1 CARDINAL cana-1119 235 5 k. o. babalola PERSON cana-1119 235 6 arxiv ORG cana-1119 235 7 6 CARDINAL cana-1119 235 8 2009 DATE cana-1119 235 9 1 CARDINAL cana-1119 235 10 2 CARDINAL cana-1119 235 11 derjenigen potenzreihen PERSON cana-1119 235 12 welche eine ORG cana-1119 235 13 sitzungsberichte preussische akademie ORG cana-1119 235 14 138 CARDINAL cana-1119 235 15 1916 DATE cana-1119 235 16 940 CARDINAL cana-1119 236 1 3 CARDINAL cana-1119 236 2 l. de branges PERSON cana-1119 236 3 acta mathematica PERSON cana-1119 236 4 154 DATE cana-1119 236 5 1985 DATE cana-1119 237 1 4 CARDINAL cana-1119 237 2 w. ma PERSON cana-1119 237 3 d. minda PERSON cana-1119 237 4 the nankai institute of mathematics ORG cana-1119 237 5 1992 DATE cana-1119 237 6 157 CARDINAL cana-1119 238 1 5 CARDINAL cana-1119 238 2 r. mendiratta PERSON cana-1119 238 3 s. nagpal PERSON cana-1119 238 4 malaysian NORP cana-1119 238 5 2015 CARDINAL cana-1119 238 6 365 CARDINAL cana-1119 239 1 6 CARDINAL cana-1119 239 2 l. shi PERSON cana-1119 239 3 h. m. srivastava PERSON cana-1119 239 4 m. arif PERSON cana-1119 239 5 s. hussain PERSON cana-1119 239 6 h. khan PERSON cana-1119 239 7 third ORDINAL cana-1119 239 8 11(5 CARDINAL cana-1119 239 9 2019 CARDINAL cana-1119 239 10 598 CARDINAL cana-1119 240 1 7 CARDINAL cana-1119 240 2 american NORP cana-1119 240 3 118,(1993 CARDINAL cana-1119 240 4 189 CARDINAL cana-1119 241 1 8 CARDINAL cana-1119 241 2 w. janowski PERSON cana-1119 241 3 extremal GPE cana-1119 241 4 annales polonici mathematici ORG cana-1119 241 5 23,(1970 DATE cana-1119 241 6 159 CARDINAL cana-1119 242 1 9 CARDINAL cana-1119 242 2 a. alotaibi PERSON cana-1119 242 3 m. arif PERSON cana-1119 242 4 m. a. alghamdi PERSON cana-1119 242 5 s. hussain PERSON cana-1119 242 6 8 CARDINAL cana-1119 242 7 2020 DATE cana-1119 242 8 1118 DATE cana-1119 243 1 10 CARDINAL cana-1119 243 2 n. e. cho PERSON cana-1119 243 3 kumar PERSON cana-1119 243 4 s. s. kumar PERSON cana-1119 243 5 v. ravichandran PERSON cana-1119 243 6 iranian NORP cana-1119 243 7 45 CARDINAL cana-1119 243 8 2019 DATE cana-1119 243 9 213 CARDINAL cana-1119 244 1 11 CARDINAL cana-1119 244 2 m. arif PERSON cana-1119 244 3 m. raza PERSON cana-1119 244 4 h. tang PERSON cana-1119 244 5 s. hussain PERSON cana-1119 244 6 h. khan PERSON cana-1119 244 7 three CARDINAL cana-1119 244 8 17 DATE cana-1119 244 9 2019 DATE cana-1119 244 10 1615 CARDINAL cana-1119 245 1 12 CARDINAL cana-1119 245 2 studia mathematica mathematische lehrbucher PERSON cana-1119 245 3 1975 DATE cana-1119 246 1 13 CARDINAL cana-1119 247 1 london GPE cana-1119 248 1 41 DATE cana-1119 248 2 1966 DATE cana-1119 248 3 111 CARDINAL cana-1119 249 1 14 CARDINAL cana-1119 249 2 j. noonan PERSON cana-1119 249 3 d.k. thomas PERSON cana-1119 249 4 second ORDINAL cana-1119 249 5 american NORP cana-1119 249 6 223(2 CARDINAL cana-1119 249 7 1976 DATE cana-1119 249 8 337 CARDINAL cana-1119 250 1 15 CARDINAL cana-1119 250 2 k. i. noor PERSON cana-1119 250 3 roum PERSON cana-1119 252 1 28 DATE cana-1119 252 2 1983 DATE cana-1119 252 3 731 CARDINAL cana-1119 253 1 16 CARDINAL cana-1119 253 2 gaganpreet kaur PERSON cana-1119 253 3 singh GPE cana-1119 253 4 muhammad arif PERSON cana-1119 253 5 ronnason chinram PERSON cana-1119 253 6 javed iqbal PERSON cana-1119 253 7 third ORDINAL cana-1119 253 8 fourth ORDINAL cana-1119 253 9 2021 CARDINAL cana-1119 253 10 8 CARDINAL cana-1119 254 1 17 CARDINAL cana-1119 254 2 richard j. libera PERSON cana-1119 254 3 j. zΕ‚otkiewicz PERSON cana-1119 255 1 amer PERSON cana-1119 256 1 85 DATE cana-1119 256 2 1982 DATE cana-1119 256 3 225 CARDINAL cana-1119 257 1 18 CARDINAL cana-1119 257 2 14 DATE cana-1119 257 3 1967 DATE cana-1119 257 4 108-112 CARDINAL cana-1119 258 1 19 CARDINAL cana-1119 258 2 luigi rodino PERSON cana-1119 258 3 muhammad arif PERSON cana-1119 258 4 lubna rani PERSON cana-1119 258 5 mohsan raza PERSON cana-1119 258 6 pawel zaprawa PERSON cana-1119 258 7 fourth ORDINAL cana-1119 258 8 2021 CARDINAL cana-1119 258 9 1-8 DATE cana-1119 259 1 20 CARDINAL cana-1119 259 2 hari srivastava PERSON cana-1119 259 3 gaganpreet kaur PERSON cana-1119 259 4 singh GPE cana-1119 259 5 fourth ORDINAL cana-1119 259 6 22 CARDINAL cana-1119 259 7 2021 CARDINAL cana-1119 259 8 511 CARDINAL cana-1119 260 1 21 CARDINAL cana-1119 260 2 paweΕ‚ zaprawa PERSON cana-1119 260 3 third ORDINAL cana-1119 261 1 mediterranean journal ORG cana-1119 261 2 14 DATE cana-1119 261 3 2017 CARDINAL cana-1119 262 1 22 CARDINAL cana-1119 262 2 2014 DATE cana-1119 264 1 https://www.semanticscholar.org/paper/extremal-problems-for-a-family-of-functions-with-janowski/f77d190470c6fe6209ce20f1971e49332fef896e https://scholar.google.co.in/scholar?q=a.+alotaibi,+m.+arif,+m.+a.+alghamdi,+s.+hussain,+starlikeness+associated+with+cosine+hyperbolic+function,+mathematics,+8,+(2020),+1118&hl=en&as_sdt=0&as_vis=1&oi=scholart https://scholar.google.co.in/scholar?q=a.+alotaibi,+m.+arif,+m.+a.+alghamdi,+s.+hussain,+starlikeness+associated+with+cosine+hyperbolic+function,+mathematics,+8,+(2020),+1118&hl=en&as_sdt=0&as_vis=1&oi=scholart https://www.researchgate.net/publication/323187444_radius_problems_for_starlike_functions_associated_with_the_sine_function https://www.researchgate.net/publication/323187444_radius_problems_for_starlike_functions_associated_with_the_sine_function ORG cana-1119 264 2 https://www.degruyter.com/document/doi/10.1515/math-2019-0132/html?lang=en https://www.degruyter.com/document/doi/10.1515/math-2019-0132/html?lang=en PERSON cana-1119 268 1 https://link.springer.com/article/10.1007/s00009-016-0829-y https://link.springer.com/article/10.1007/s00009-016-0829-y https://onlinelibrary.wiley.com/doi/10.1155/2014/984135 ORG cana-1119 269 1 1074 CARDINAL cana-1119 270 1 6s CARDINAL cana-1119 270 2 2024 CARDINAL cana-1119 270 3 60 CARDINAL cana-1119 271 1 23 CARDINAL cana-1119 271 2 g. murugusundaramoorthy PERSON cana-1119 271 3 k. vijaya PERSON cana-1119 271 4 s. porwal PERSON cana-1119 271 5 poisson distribution series ORG cana-1119 271 6 45 CARDINAL cana-1119 271 7 2016 CARDINAL cana-1119 271 8 11011107 DATE cana-1119 272 1 24 CARDINAL cana-1119 272 2 m. kumar PERSON cana-1119 272 3 poisson distribution series ORG cana-1119 272 4 african NORP cana-1119 272 5 27 CARDINAL cana-1119 272 6 2016 CARDINAL cana-1119 272 7 1021-1027 CARDINAL cana-1119 273 1 25 CARDINAL cana-1119 273 2 singh GPE cana-1119 273 3 m. s. sarao PERSON cana-1119 273 4 b. s. mehrok PERSON cana-1119 273 5 fekete szegΓΆ ORG cana-1119 273 6 2013 DATE cana-1119 274 1 26 CARDINAL cana-1119 274 2 g. kaur PERSON cana-1119 274 3 5 CARDINAL cana-1119 274 4 2017 CARDINAL cana-1119 275 1 27 CARDINAL cana-1119 275 2 g. singh GPE cana-1119 275 3 g. singh GPE cana-1119 275 4 generalized sΓ£lΓ£gean operator ORG cana-1119 275 5 2019 CARDINAL cana-1119 276 1 1-7 CARDINAL cana-1119 276 2 28 CARDINAL cana-1119 276 3 g. singh GPE cana-1119 276 4 g. singh GPE cana-1119 276 5 jnanabha ORG cana-1119 276 6 50(1 DATE cana-1119 276 7 2020 DATE cana-1119 276 8 65 CARDINAL cana-1119 277 1 29 CARDINAL cana-1119 277 2 g. singh GPE cana-1119 277 3 g. singh GPE cana-1119 277 4 fourth ORDINAL cana-1119 277 5 generalized salagean operator ORG cana-1119 278 1 31(2 CARDINAL cana-1119 278 2 2022 CARDINAL cana-1119 278 3 209-240 CARDINAL cana-1119 279 1 30 CARDINAL cana-1119 279 2 g. singh PERSON cana-1119 279 3 g. singh GPE cana-1119 279 4 g. singh GPE cana-1119 279 5 third ORDINAL cana-1119 279 6 fourth ORDINAL cana-1119 280 1 southeast asian NORP cana-1119 280 2 2023 CARDINAL cana-1119 281 1 31 CARDINAL cana-1119 281 2 h. m. srivastava PERSON cana-1119 281 3 g. kaur PERSON cana-1119 281 4 g. singh PERSON cana-1119 281 5 fourth ORDINAL cana-1119 281 6 22(3 CARDINAL cana-1119 281 7 2021 CARDINAL cana-1119 281 8 511 CARDINAL cana-1119 282 1 32 CARDINAL cana-1119 282 2 gangadharan murugusundaramoorthy PERSON cana-1119 282 3 shu-hai li PERSON cana-1119 282 4 li-na ma PERSON cana-1119 282 5 2022 CARDINAL cana-1119 282 6 6365-6380 DATE