Geometric Properties for a New Class of Analytic Functions Defined by a Certain Operator

被引：5

作者：

Breaz, Daniel ^{[1
]}

Murugusundaramoorthy, Gangadharan ^{[2
]}

Cotirla, Luminita-Ioana ^{[3
]}

机构：

[1] 1 Decembrie 1918 Univ Alba Iulia, Dept Math, Alba Lulia 510009, Romania

[2] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India

[3] Tech Univ Cluj Napoca, Dept Math, Cluj Napoca 400114, Romania

来源：

SYMMETRY-BASEL | 2022年 / 14卷 / 12期

关键词：

holomorphic function; Fekete-Szego problem; analytic functions; upper bounds; starlike function; Q-STARLIKE FUNCTIONS; COEFFICIENT INEQUALITIES; Q-DERIVATIVES; SUBCLASSES; CONVEX; (P;

D O I：

10.3390/sym14122624

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The aim of this paper is to define and explore a certain class of analytic functions involving the (p,q)-Wanas operator related to the Janowski functions. We discuss geometric properties, growth and distortion bounds, necessary and sufficient conditions, the Fekete-Szego problem, partial sums, and convex combinations for the newly defined class. We solve the Fekete-Szego problem related to the convolution product and discuss applications to probability distribution.

引用

页数：16

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