id	sid	eid	entity	type
ejpam-3737	1	1	european journal	ORG
ejpam-3737	2	1	13	CARDINAL
ejpam-3737	2	2	4, 2020	DATE
ejpam-3737	2	3	807	CARDINAL
ejpam-3737	2	4	new york	GPE
ejpam-3737	3	1	sendov	ORG
ejpam-3737	3	2	todor stoyanov stoyanov department of mathematics	ORG
ejpam-3737	3	3	university of economics	ORG
ejpam-3737	4	1	knyaz boris	PERSON
ejpam-3737	4	2	77	DATE
ejpam-3737	4	3	9002	CARDINAL
ejpam-3737	4	4	bulgaria	GPE
ejpam-3737	5	1	zeros	CARDINAL
ejpam-3737	5	2	0	CARDINAL
ejpam-3737	5	3	1	CARDINAL
ejpam-3737	6	1	1	CARDINAL
ejpam-3737	6	2	1	CARDINAL
ejpam-3737	6	3	−1	DATE
ejpam-3737	6	4	1	CARDINAL
ejpam-3737	7	1	1	CARDINAL
ejpam-3737	9	1	2020	DATE
ejpam-3737	9	2	30d20	CARDINAL
ejpam-3737	9	3	30a10	CARDINAL
ejpam-3737	9	4	zeros	CARDINAL
ejpam-3737	9	5	1	CARDINAL
ejpam-3737	9	6	zeros	CARDINAL
ejpam-3737	10	1	zeros	CARDINAL
ejpam-3737	12	1	zeros	CARDINAL
ejpam-3737	13	1	zeros	CARDINAL
ejpam-3737	14	1	second	ORDINAL
ejpam-3737	16	1	third	ORDINAL
ejpam-3737	16	2	three	CARDINAL
ejpam-3737	17	1	1	CARDINAL
ejpam-3737	17	2	2	CARDINAL
ejpam-3737	17	3	3	CARDINAL
ejpam-3737	18	1	1	CARDINAL
ejpam-3737	18	2	2	CARDINAL
ejpam-3737	18	3	1	CARDINAL
ejpam-3737	19	1	3	CARDINAL
ejpam-3737	19	2	1	CARDINAL
ejpam-3737	20	1	fourth	ORDINAL
ejpam-3737	21	1	1	CARDINAL
ejpam-3737	21	2	zeros	CARDINAL
ejpam-3737	22	1	2	CARDINAL
ejpam-3737	22	2	zeros	CARDINAL
ejpam-3737	23	1	4	CARDINAL
ejpam-3737	25	1	4	CARDINAL
ejpam-3737	26	1	2	CARDINAL
ejpam-3737	26	2	5	CARDINAL
ejpam-3737	27	1	todstoyanov@yahoo.com	ORG
ejpam-3737	27	2	t. s. stoyanov	ORG
ejpam-3737	27	3	2020	DATE
ejpam-3737	28	1	t. s. stoyanov / eur	ORG
ejpam-3737	29	1	j. pure	PERSON
ejpam-3737	29	2	13	CARDINAL
ejpam-3737	29	3	4	CARDINAL
ejpam-3737	29	4	2020	DATE
ejpam-3737	29	5	807-813 808 2	QUANTITY
ejpam-3737	31	1	r. d	PERSON
ejpam-3737	32	1	r. c	PERSON
ejpam-3737	35	1	r. m	PERSON
ejpam-3737	36	1	0	CARDINAL
ejpam-3737	36	2	1	CARDINAL
ejpam-3737	36	3	1	CARDINAL
ejpam-3737	36	4	−1	DATE
ejpam-3737	36	5	1	CARDINAL
ejpam-3737	37	1	1	CARDINAL
ejpam-3737	37	2	n ≥ 2	DATE
ejpam-3737	38	1	∏n	DATE
ejpam-3737	38	2	k=1	PERSON
ejpam-3737	38	3	∈	ORG
ejpam-3737	38	4	0	CARDINAL
ejpam-3737	38	5	1	CARDINAL
ejpam-3737	38	6	1	CARDINAL
ejpam-3737	38	7	2	DATE
ejpam-3737	40	1	n.	PERSON
ejpam-3737	40	2	at least one zero	CARDINAL
ejpam-3737	40	3	1	CARDINAL
ejpam-3737	42	1	1	CARDINAL
ejpam-3737	42	2	2	DATE
ejpam-3737	43	1	n. 3.	PERSON
ejpam-3737	43	2	1(obreshkoff	CARDINAL
ejpam-3737	44	1	zeros	CARDINAL
ejpam-3737	44	2	k = 1	PERSON
ejpam-3737	44	3	2	DATE
ejpam-3737	47	1	∈	ORG
ejpam-3737	48	1	0	CARDINAL
ejpam-3737	48	2	1	CARDINAL
ejpam-3737	49	1	zeros	CARDINAL
ejpam-3737	50	1	2	MONEY
ejpam-3737	50	2	∈	ORG
ejpam-3737	50	3	0	CARDINAL
ejpam-3737	50	4	1	CARDINAL
ejpam-3737	51	1	2(stoyanov	CARDINAL
ejpam-3737	52	1	zeros	CARDINAL
ejpam-3737	52	2	k = 1	PERSON
ejpam-3737	52	3	2	DATE
ejpam-3737	54	1	∈	ORG
ejpam-3737	55	1	0	CARDINAL
ejpam-3737	55	2	1	CARDINAL
ejpam-3737	56	1	γ ≥ −m 2	ORG
ejpam-3737	56	2	1	CARDINAL
ejpam-3737	56	3	2	DATE
ejpam-3737	58	1	zeros	CARDINAL
ejpam-3737	61	1	zkp(k)(z	TIME
ejpam-3737	62	1	∈	ORG
ejpam-3737	62	2	0	CARDINAL
ejpam-3737	62	3	2 1 m	QUANTITY
ejpam-3737	62	4	1	CARDINAL
ejpam-3737	62	5	−1	DATE
ejpam-3737	63	1	3(bojanov	DATE
ejpam-3737	64	1	zeros	CARDINAL
ejpam-3737	64	2	k = 1	PERSON
ejpam-3737	64	3	2	DATE
ejpam-3737	66	1	∈	ORG
ejpam-3737	66	2	0	CARDINAL
ejpam-3737	66	3	1	CARDINAL
ejpam-3737	66	4	zero	CARDINAL
ejpam-3737	66	5	1	CARDINAL
ejpam-3737	66	6	at least one zero	CARDINAL
ejpam-3737	66	7	d(a2	GPE
ejpam-3737	66	8	1 2	CARDINAL
ejpam-3737	67	1	t. s. stoyanov / eur	ORG
ejpam-3737	68	1	j. pure	PERSON
ejpam-3737	68	2	13	CARDINAL
ejpam-3737	68	3	4	CARDINAL
ejpam-3737	68	4	2020	DATE
ejpam-3737	68	5	807	CARDINAL
ejpam-3737	68	6	1	CARDINAL
ejpam-3737	71	1	n ∈ n	ORG
ejpam-3737	71	2	0	CARDINAL
ejpam-3737	71	3	1	CARDINAL
ejpam-3737	72	1	zeros	CARDINAL
ejpam-3737	73	1	1	CARDINAL
ejpam-3737	73	2	∈	ORG
ejpam-3737	73	3	0	CARDINAL
ejpam-3737	73	4	∈	ORG
ejpam-3737	73	5	0	CARDINAL
ejpam-3737	73	6	1	CARDINAL
ejpam-3737	74	1	dr dz = n	PERSON
ejpam-3737	77	1	1	CARDINAL
ejpam-3737	77	2	1	CARDINAL
ejpam-3737	77	3	1	CARDINAL
ejpam-3737	77	4	1	CARDINAL
ejpam-3737	77	5	∈	ORG
ejpam-3737	77	6	1	CARDINAL
ejpam-3737	78	1	∈	ORG
ejpam-3737	78	2	a real zero	CARDINAL
ejpam-3737	78	3	zero	CARDINAL
ejpam-3737	78	4	dr dz	PERSON
ejpam-3737	78	5	∈	ORG
ejpam-3737	78	6	0	CARDINAL
ejpam-3737	78	7	1	CARDINAL
ejpam-3737	80	1	2	CARDINAL
ejpam-3737	81	1	0	CARDINAL
ejpam-3737	81	2	1	CARDINAL
ejpam-3737	81	3	∈	ORG
ejpam-3737	81	4	dr dz .	PERSON
ejpam-3737	82	1	zeros	CARDINAL
ejpam-3737	82	2	1	CARDINAL
ejpam-3737	82	3	0	CARDINAL
ejpam-3737	82	4	1	CARDINAL
ejpam-3737	83	1	0	CARDINAL
ejpam-3737	83	2	dr dz dz =	PERSON
ejpam-3737	83	3	t. s. stoyanov / eur	ORG
ejpam-3737	84	1	j. pure	PERSON
ejpam-3737	84	2	13	CARDINAL
ejpam-3737	84	3	4	CARDINAL
ejpam-3737	84	4	2020	DATE
ejpam-3737	84	5	807-813 810	PERCENT
ejpam-3737	88	1	1	CARDINAL
ejpam-3737	88	2	1	CARDINAL
ejpam-3737	88	3	∈	ORG
ejpam-3737	88	4	2	CARDINAL
ejpam-3737	88	5	1	CARDINAL
ejpam-3737	88	6	1	CARDINAL
ejpam-3737	88	7	2ρm cos ϕmz	DATE
ejpam-3737	90	1	2ρ1	CARDINAL
ejpam-3737	90	2	z2 − 2ρs cos ϕsz + ρ2s	ORG
ejpam-3737	90	3	n ∫ 0	ORG
ejpam-3737	90	4	+ 1)l	DATE
ejpam-3737	92	1	1n	CARDINAL
ejpam-3737	93	1	1− a)n > a.	PRODUCT
ejpam-3737	94	1	zeros	CARDINAL
ejpam-3737	94	2	1	CARDINAL
ejpam-3737	95	1	0	CARDINAL
ejpam-3737	96	1	1	CARDINAL
ejpam-3737	96	2	2	CARDINAL
ejpam-3737	99	1	n ∈ n	ORG
ejpam-3737	99	2	0	CARDINAL
ejpam-3737	99	3	1	CARDINAL
ejpam-3737	100	1	zeros	CARDINAL
ejpam-3737	101	1	0	CARDINAL
ejpam-3737	101	2	1	CARDINAL
ejpam-3737	101	3	∈	ORG
ejpam-3737	101	4	0	CARDINAL
ejpam-3737	101	5	1	CARDINAL
ejpam-3737	101	6	0	CARDINAL
ejpam-3737	102	1	dr dz = n	PERSON
ejpam-3737	105	1	1	CARDINAL
ejpam-3737	105	2	0	CARDINAL
ejpam-3737	105	3	1	CARDINAL
ejpam-3737	105	4	1	CARDINAL
ejpam-3737	105	5	1	CARDINAL
ejpam-3737	105	6	∈	ORG
ejpam-3737	105	7	2	CARDINAL
ejpam-3737	106	1	zero	CARDINAL
ejpam-3737	106	2	zero	CARDINAL
ejpam-3737	106	3	dr dz	PERSON
ejpam-3737	106	4	∈	ORG
ejpam-3737	106	5	1	CARDINAL
ejpam-3737	107	1	t. s. stoyanov / eur	ORG
ejpam-3737	108	1	j. pure	PERSON
ejpam-3737	108	2	13	CARDINAL
ejpam-3737	108	3	4	CARDINAL
ejpam-3737	108	4	2020	DATE
ejpam-3737	108	5	807	CARDINAL
ejpam-3737	109	1	3	CARDINAL
ejpam-3737	110	1	1	CARDINAL
ejpam-3737	110	2	∈	ORG
ejpam-3737	110	3	dr dz .	PERSON
ejpam-3737	111	1	zeros	CARDINAL
ejpam-3737	111	2	0	CARDINAL
ejpam-3737	111	3	1	CARDINAL
ejpam-3737	112	1	zero z0	MONEY
ejpam-3737	114	1	1	CARDINAL
ejpam-3737	114	2	1	CARDINAL
ejpam-3737	114	3	θ ∈	ORG
ejpam-3737	115	1	0	CARDINAL
ejpam-3737	116	1	1	CARDINAL
ejpam-3737	116	2	l∏ p=1	TIME
ejpam-3737	117	1	s ∈ n	PRODUCT
ejpam-3737	117	2	one	CARDINAL
ejpam-3737	119	1	dr dz dz = n ∫ v(θ	PERSON
ejpam-3737	119	2	0	CARDINAL
ejpam-3737	125	1	dθ = iaeiθ	ORG
ejpam-3737	126	1	1	CARDINAL
ejpam-3737	126	2	0	CARDINAL
ejpam-3737	126	3	1	CARDINAL
ejpam-3737	127	1	t. s. stoyanov / eur	ORG
ejpam-3737	128	1	j. pure	PERSON
ejpam-3737	128	2	13	CARDINAL
ejpam-3737	128	3	4	CARDINAL
ejpam-3737	128	4	2020	DATE
ejpam-3737	128	5	807	CARDINAL
ejpam-3737	129	1	∏n−1	ORG
ejpam-3737	131	1	∏n−1	ORG
ejpam-3737	131	2	n−1∏ p=0	PERSON
ejpam-3737	131	3	n−1∏ p=0	PERSON
ejpam-3737	133	1	n−1∏ p=0	PERSON
ejpam-3737	135	1	dθ	ORG
ejpam-3737	137	1	dθ	ORG
ejpam-3737	137	2	d2g dθ2	PERSON
ejpam-3737	139	1	p=0 ∏ j 6	PERSON
ejpam-3737	140	1	p=0 ∏ j 6	PERSON
ejpam-3737	140	2	d2g dθ2	PERSON
ejpam-3737	141	1	2n	CARDINAL
ejpam-3737	141	2	n−1∏ p=0	GPE
ejpam-3737	141	3	p=0 ∏ j 6	PERSON
ejpam-3737	141	4	d2g dθ2 ≥ 2n	PERSON
ejpam-3737	141	5	n n−1∏ p=0	PERSON
ejpam-3737	142	1	6	CARDINAL
ejpam-3737	142	2	∣∣∣	CARDINAL
ejpam-3737	144	1	θ ∈	ORG
ejpam-3737	144	2	0	CARDINAL
ejpam-3737	144	3	1	CARDINAL
ejpam-3737	144	4	1	CARDINAL
ejpam-3737	144	5	1	CARDINAL
ejpam-3737	145	1	θ)|	PERSON
ejpam-3737	145	2	na−	GPE
ejpam-3737	145	3	2na n−1∏ p=0	ORG
ejpam-3737	146	1	1	CARDINAL
ejpam-3737	146	2	2na	CARDINAL
ejpam-3737	146	3	n−1∏ p=0	NORP
ejpam-3737	146	4	n− a− a2	ORG
ejpam-3737	146	5	1	CARDINAL
ejpam-3737	146	6	2na n−1∏ p=0	ORG
ejpam-3737	146	7	n− a−	ORG
ejpam-3737	146	8	1	CARDINAL
ejpam-3737	147	1	2nan	TIME
ejpam-3737	147	2	1−	ORDINAL
ejpam-3737	147	3	n−1∏ p=0 |up|	ORG
ejpam-3737	148	1	d2g dθ2 ≥ 0	PERSON
ejpam-3737	149	1	0	CARDINAL
ejpam-3737	150	1	1	CARDINAL
ejpam-3737	152	1	0	CARDINAL
ejpam-3737	153	1	dr dz dz =	PERSON
ejpam-3737	153	2	dr dz dz =	PERSON
ejpam-3737	153	3	813	CARDINAL
ejpam-3737	153	4	0)| ≤ a2	MONEY
ejpam-3737	154	1	0)| ≤	MONEY
ejpam-3737	155	1	zero	CARDINAL
ejpam-3737	155	2	dr dz	PERSON
ejpam-3737	155	3	∈	ORG
ejpam-3737	155	4	0	CARDINAL
ejpam-3737	155	5	1	CARDINAL
ejpam-3737	156	1	university of economics	ORG
ejpam-3737	156	2	2018-04-27	DATE
ejpam-3737	157	1	1	CARDINAL
ejpam-3737	160	1	190:281–285, 1985	DATE
ejpam-3737	161	1	2	CARDINAL
ejpam-3737	162	1	zeros	CARDINAL
ejpam-3737	163	1	aip	ORG
ejpam-3737	164	1	2159	CARDINAL
ejpam-3737	164	2	st constantine	PERSON
ejpam-3737	164	3	helena	GPE
ejpam-3737	164	4	2019	DATE
ejpam-3737	165	1	sixth	ORDINAL
ejpam-3737	166	1	3	CARDINAL
ejpam-3737	167	1	zeros	CARDINAL
ejpam-3737	168	1	australian	NORP
ejpam-3737	168	2	68:165–169	CARDINAL
ejpam-3737	168	3	2000	DATE
ejpam-3737	169	1	4	CARDINAL
ejpam-3737	171	1	european journal	ORG
ejpam-3737	171	2	12(2):649	DATE
ejpam-3737	171	3	653	CARDINAL
ejpam-3737	171	4	2019	DATE
ejpam-3737	172	1	5	CARDINAL
ejpam-3737	173	1	jackson	GPE
ejpam-3737	173	2	n. mediterr	PERSON
ejpam-3737	174	1	j. math	PERSON
ejpam-3737	174	2	13:5053–5061	CARDINAL
ejpam-3737	174	3	2016	DATE