Sufficient conditions for starlike functions associated with the lemniscate of Bernoulli

被引:47
|
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] Further Results for Starlike Functions Related with Booth Lemniscate
    Rahim Kargar
    Ali Ebadian
    Lucyna Trojnar-Spelina
    Iranian Journal of Science and Technology, Transactions A: Science, 2019, 43 : 1235 - 1238
  • [22] Further Results for Starlike Functions Related with Booth Lemniscate
    Kargar, Rahim
    Ebadian, Ali
    Trojnar-Spelina, Lucyna
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2019, 43 (A3): : 1235 - 1238
  • [23] 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
  • [24] ON A CLASS OF ANALYTIC MULTIVALENT FUNCTIONS IN q-ANALOGUE ASSOCIATED WITH LEMNISCATE OF BERNOULLI
    Ahmad, Bakhtiar
    Darus, Maslina
    Khan, Nasir
    Khan, Raees
    Khan, Muhammad Ghaffar
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 13 (01): : 71 - 82
  • [25] SUFFICIENT CONDITIONS FOR ANALYTIC FUNCTIONS TO BE STARLIKE OF RECIPROCAL ORDER
    Yadav, Shalu
    Ravichandran, V.
    HONAM MATHEMATICAL JOURNAL, 2024, 46 (01): : 120 - 135
  • [26] Some sufficient conditions for p-valent strongly starlike functions
    Yang, Ding-Gong
    Liu, Jin-Lin
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (06) : 2018 - 2025
  • [27] SOME GEOMETRIC PROPERTIES OF MULTIVALENT ANALYTIC FUNCTIONS ASSOCIATED WITH THE LEMNISCATE OF BERNOULLI
    Yang, Lian-Bo
    Yuan, Yuan
    Liu, Jin-Lin
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2021, 11 (02): : 790 - 797
  • [28] Third Hankel Determinant for a Subclass of Univalent Functions Associated with Lemniscate of Bernoulli
    Ullah, Najeeb
    Ali, Irfan
    Hussain, Sardar Muhammad
    Ro, Jong-Suk
    Khan, Nazar
    Khan, Bilal
    FRACTAL AND FRACTIONAL, 2022, 6 (01)
  • [29] The Booth Lemniscate Starlikeness Radius for Janowski Starlike Functions
    Malik, Somya
    Ali, Rosihan M.
    Ravichandran, V.
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2022, 45 (05) : 2715 - 2732
  • [30] The Booth Lemniscate Starlikeness Radius for Janowski Starlike Functions
    Somya Malik
    Rosihan M. Ali
    V. Ravichandran
    Bulletin of the Malaysian Mathematical Sciences Society, 2022, 45 : 2715 - 2732