A class of analytic functions associated with sine hyperbolic functions

被引：1

作者：

Kumar, S. Sivaprasad ^{[1
]}

Khan, Muhammad Ghaffar ^{[2
]}

Ahmad, Bakhtiar ^{[3
]}

Mashwani, Wali Khan ^{[2
]}

机构：

[1] Delhi Technol Univ, Dept Appl Math, New Delhi 110042, India

[2] Kohat Univ Sci & Technol, Inst Numer Sci, Kohat 26000, Pakistan

[3] Govt Degree Coll Mardan, Dept Math, Mardan 23200, Pakistan

来源：

JOURNAL OF ANALYSIS | 2024年 / 32卷 / 05期

关键词：

Analytic functions; Sine hyperbolic function; Subordination; Convolution; Third Hankel determinant; STARLIKE; COEFFICIENT; SUBCLASS; INVERSE; CONVEX;

D O I：

10.1007/s41478-024-00783-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a class of analytic functions subordinated to 1+sinh (z) and obtain various necessary and sufficient conditions for functions to be in this class. These conditions mainly comprise of various results involving convolution. Further, we have obtained sharp five initial coefficients, a conjecture for the general nth coefficients and the third Hankel determinant bounds for the functions in this class. Also derived certain differential subordination implication results involving 1+sinh (z).

引用

页码：3065 / 3085

页数：21

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