DIFFERENTIAL SUBORDINATION FOR FUNCTIONS ASSOCIATED WITH THE LEMNISCATE OF BERNOULLI

被引：73

作者：

Ali, Rosihan M. ^{[2
]}

Cho, Nak Eun ^{[1
]}

Ravichandran, V. ^{[3
]}

Kumar, S. Sivaprasad ^{[4
]}

机构：

[1] Pukyong Natl Univ, Dept Appl Math, Pusan 608737, South Korea

[2] Univ Sains Malaysia, Sch Math Sci, George Town 11800, Malaysia

[3] Univ Delhi, Dept Math, Delhi 110007, India

[4] Delhi Technol Univ, Dept Appl Math, Delhi 110042, India

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2012年 / 16卷 / 03期

基金：

新加坡国家研究基金会;

关键词：

Starlike functions; Lemniscate of Bernoulli; Differential subordination; Differential superordination; Best subordinant; Best dominant; STARLIKENESS;

D O I：

10.11650/twjm/1500406676

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Conditions on beta are determined so that 1 + beta zp' (z) subordinated to root 1 + z implies p is subordinated to root 1 + z. Analogous results are also obtained involving the expressions 1+ beta zp' (z)/p(z) and 1+ beta zp'(z)/p(2)(z). These results are applied to obtain sufficient conditions for normalized analytic functions f to satisfy the condition vertical bar(zf'(z)/f(z))(2) - 1 vertical bar < 1.

引用

页码：1017 / 1026

页数：10

共 50 条

[41] NEW CRITERIA FOR SUBORDINATION AND SUPERORDINATION OF MULTIVALENT FUNCTIONS ASSOCIATED WITH THE SRIVASTAVA-ATTIYA OPERATOR&DAG;
Kumar, Virendra
Cho, Nak Eun
JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2023, 41 (02): : 387 - 400
[42] Third-Order Differential Subordination Results for Analytic Functions Associated with a Certain Differential Operator
Darweesh, Amal Mohammed
Atshan, Waggas Galib
Battor, Ali Hussein
Lupas, Alina Alb
SYMMETRY-BASEL, 2022, 14 (01):
[43] Differential Subordination Properties of Sokol-Stankiewicz Starlike Functions
Omar, Rashidah
Halim, Suzeini Abdul
KYUNGPOOK MATHEMATICAL JOURNAL, 2013, 53 (03): : 459 - 465
[44] A first-order differential double subordination with applications
Ali, Rosihan M.
Cho, Nak Eun
Kwon, Oh Sang
Ravichandran, V.
APPLIED MATHEMATICS LETTERS, 2012, 25 (03) : 268 - 274
[45] Some applications of differential subordination on analytic functions
Aouf, M. K.
EL-Ashwash, R. M.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2010, 55 (11) : 1059 - 1070
[46] Differential subordination for certain strongly starlike functions
Saliu, Afis
Jabeen, Kanwal
Ravichandran, V.
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2024, 73 (01) : 1 - 18
[47] Differential subordination for certain strongly starlike functions
Afis Saliu
Kanwal Jabeen
V. Ravichandran
Rendiconti del Circolo Matematico di Palermo Series 2, 2024, 73 : 1 - 18
[48] Differential subordination, superordination results associated with Pascal distribution
Saritha, K.
Thilagavathi, K.
AIMS MATHEMATICS, 2023, 8 (04): : 7856 - 7864
[49] ON PARTIAL SOLUTIONS TO CONJECTURES FOR RADIUS PROBLEMS INVOLVING LEMNISCATE OF BERNOULLI
Kaur, Gurpreet
KOREAN JOURNAL OF MATHEMATICS, 2023, 31 (04): : 433 - 444
[50] Dominant of Functions Satisfying a Differential Subordination and Applications
Chandrashekar, R.
Ali, Rosihan M.
Subramanian, K. G.
PROCEEDINGS OF THE 21ST NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM21): GERMINATION OF MATHEMATICAL SCIENCES EDUCATION AND RESEARCH TOWARDS GLOBAL SUSTAINABILITY, 2014, 1605 : 580 - 585

← 1 2 3 4 5 →