Certain Subclasses of Analytic Functions Associated with Generalized Telephone Numbers

Symmetry

Gangadharan Murugusundaramoorthy¹  Kaliappan Vijaya¹ 

[1] School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, Tamilnadu, India;

关键词: analytic functions;    convex functions;    starlike functions;    subordination;    Hadamard product;    Fekete–Szegö inequality;   

DOI  :  10.3390/sym14051053

来源: DOAJ

【 摘 要 】

The goal of this article is to contemplate coefficient estimates for a new class of analytic functions f associated with generalized telephone numbers to originate certain initial Taylor coefficient estimates and Fekete–Szegö inequality for f in the new function class. Comparable results have been attained for the function $f^{-1}.$ Further application of our outcomes to certain functions demarcated by convolution products with certain normalized analytic functions in the open unit disk are specified, and we obtain Fekete–Szegö variations for this new function class defined over Poisson and Borel distribution series.

【 授权许可】

Unknown