id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-1476	Altintas, Osman	Majorization for Certain Analytic Functions	2012	9	.pdf	application/pdf	2821	153	89	If we set δ = 0, A= 1, B = −1 in Theorem 1, then � � � f (q+1)(z) � � � ¶ � � �g(q+1)(z) � � � |z| ¶ R1 where R1 = R1(p,q,δ) is the smallest positive root of the equation � �2γ− p+ q � � r3 − (p− q+ 2)r2− [ � �2γ− p+ q � �+ 2]r + p− q = 0 r = −1 is the root of the above equation and we obtain � �2γ− p+ q � � r2 − ( � �2γ− p+ q � �+ p− q+ 2)r + p− q = 0. (20) and the positive root of the equation (20) is R1 = R1(p,q,δ). Math, 5 (2012), 16-24 20 where R1 = R1(p,q,δ) = k− Æ k2 − 4(p− q) � �2γ− p+ q � � 2 � �2γ− p+ q � � (19) (k = p− q+ 2+ � �2γ− p+ q � � , p ∈ N,q ∈ N0,γ ∈ C \ {0}).	cache/ejpam-1476.pdf	txt/ejpam-1476.txt