Sufficient conditions for starlike functions associated with the lemniscate of Bernoulli

被引：45
|
作者：
Kumar, S. Sivaprasad [1 ]
Kumar, Virendra [1 ]
Ravichandran, V. [2 ]
Cho, Nak Eun [3 ]
机构：
[1] Delhi Technol Univ, Dept Appl Math, Delhi 110042, India
[2] Univ Delhi, Dept Math, Delhi 110007, India
[3] Pukyong Natl Univ, Dept Appl Math, Pusan 608737, South Korea
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年
基金：
新加坡国家研究基金会;
关键词：
starlike function; lemniscate of Bernoulli; subordination;
D O I：
10.1186/1029-242X-2013-176
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let -1 . The condition on beta is determined so that () implies . Similarly, the condition on beta is determined so that or () implies or . In addition to that, the condition on beta is derived so that when . A few more problems of the similar flavor are also considered. MSC: 30C80, 30C45.
引用
收藏
页数：13
相关论文
共 50 条
  • [21] Some sufficient conditions for starlike and convex functions
    Billing, Sukhwinder Singh
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2013, 58 (03): : 355 - 360
  • [22] Differential subordination and radius estimates for starlike functions associated with the Booth lemniscate
    Ch, Nak Eun
    Kumar, Sushil
    Kumar, Virendra
    Ravichandran, V
    TURKISH JOURNAL OF MATHEMATICS, 2018, 42 (03) : 1380 - 1399
  • [23] Coefficient Inequalities For A Class Of Analytic Functions Associated With The Lemniscate Of Bernoulli
    Panigrahi, Trailokya
    Sokol, Janusz
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2019, 37 (04): : 83 - 95
  • [24] Properties of Certain Multivalent Analytic Functions Associated with the Lemniscate of Bernoulli
    Liu, Likai
    Liu, Jin-Lin
    AXIOMS, 2021, 10 (03)
  • [25] On fourth Hankel determinant for functions associated with Bernoulli's lemniscate
    Arif, Muhammad
    Umar, Sadaf
    Raza, Mohsan
    Bulboaca, Teodor
    Farooq, Muhammad Umar
    Khan, Hasan
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2020, 49 (05): : 1777 - 1787
  • [26] Sharp Coefficient Estimates for Analytic Functions Associated with Lemniscate of Bernoulli
    Nawaz, Rubab
    Fayyaz, Rabia
    Breaz, Daniel
    Cotirla, Luminita-Ioana
    MATHEMATICS, 2024, 12 (15)
  • [27] Radius of convexity for certain analytic functions associated with the lemniscate of Bernoulli
    Cang, Yi-Ling
    Liu, Jin-Lin
    EXPOSITIONES MATHEMATICAE, 2015, 33 (03) : 387 - 391
  • [28] The sharp estimates for certain coefficient inequalities for transforms of a starlike function associated with Bernoulli's lemniscate
    Krishna, D. Vamshee
    Kumar, Ch Vijaya
    Rath, Biswajit
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2023, 16 (03)
  • [29] Starlikeness Associated with Lemniscate of Bernoulli
    Madaan, Vibha
    Kumar, Ajay
    Ravichandran, V
    FILOMAT, 2019, 33 (07) : 1937 - 1955
  • [30] SUFFICIENT CONDITIONS FOR ANALYTIC FUNCTIONS TO BE STARLIKE OF RECIPROCAL ORDER
    Yadav, Shalu
    Ravichandran, V.
    HONAM MATHEMATICAL JOURNAL, 2024, 46 (01): : 120 - 135
12345