Properties of Certain Multivalent Analytic Functions Associated with the Lemniscate of Bernoulli

被引：7

作者：

Liu, Likai ^{[1
]}

Liu, Jin-Lin ^{[2
]}

机构：

[1] Nanjing Vocat Coll Informat Technol, Informat Technol Dept, Nanjing 210023, Peoples R China

[2] Yangzhou Univ, Dept Informat Sci, Yangzhou 225002, Jiangsu, Peoples R China

来源：

AXIOMS | 2021年 / 10卷 / 03期

关键词：

analytic function; differential subordination; starlike function; lemniscate of Bernoulli; Q-STARLIKE FUNCTIONS; SUBCLASS;

D O I：

10.3390/axioms10030160

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using differential subordination, we consider conditions of beta so that some multivalent analytic functions are subordinate to (1+z)(gamma) (0 < gamma <= 1). Notably, these results are applied to derive sufficient conditions for f is an element of A to satisfy the condition vertical bar(zf'(z)/f(z))(2) -1 vertical bar < 1. Several previous results are extended.

引用

页数：7

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