GENERALIZED LAGUERRE POLYNOMIAL BOUNDS FOR SUBCLASS OF BI-UNIVALENT FUNCTIONS

被引：0

作者：

Panigrahi, Trailokya ^{[1
]}

Sokol, Janusz ^{[2
]}

机构：

[1] KIIT Deemed Univ, Dept Math, Sch Appl Sci, Bhubaneswar 751024, Odisha, India

[2] Univ Rzeszow, Fac Math & Nat Sci, Rzeszow, Poland

来源：

JORDAN JOURNAL OF MATHEMATICS AND STATISTICS | 2021年 / 14卷 / 01期

关键词：

Analytic functions; Bi-univalent functions; Generalized Laguerre polynomial; Generating function; Fekete-Szego inequality; Principle of subordination;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we propose to introduce a new subclass of biunivalent analytic functions T-Sigma(lambda, gamma) (0 < lambda <= 1, gamma >= 0) which is defined by making use of the generalized Laguerre polynomials in the open unit disk del. We derive upper bounds for the coefficients vertical bar a(2)vertical bar, vertical bar a(3)vertical bar and discuss Fekete-Szego problem for the functions belonging to the new introduced class T-Sigma(lambda, gamma).

引用

页码：127 / 140

页数：14

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