由Gegenbauer多项式定义的负系数解析函数的一个子类

Q4 Mathematics

Tatra Mountains Mathematical Publications Pub Date : 2021-10-01 DOI:10.2478/tmmp-2021-0006

B. Venkateswarlu, P. Reddy, S. Sridevi, Vaishnavy Sujatha

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引用次数: 2

摘要

摘要本文引入了由Gegenbauer多项式定义的一类新的负系数解析函数的子类。我们得到了属于TS＿ λm(γ，e,k,v)TS＿ \lambda ^m(\gamma,e,k,v)类函数的系数界、生长和畸变性质、星形、凸性和近凸性的极值点和半径。进一步，我们得到了该类的Fekete-Szego问题。

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A Certain Subclass of Analytic Functions with Negative Coefficients Defined by Gegenbauer Polynomials

Abstract In this paper, we introduce a new subclass of analytic functions with negative coefficients defined by Gegenbauer polynomials. We obtain coefficient bounds, growth and distortion properties, extreme points and radii of starlikeness, convexity and close-to-convexity for functions belonging to the class TSλm(γ,e,k,v)TS_\lambda ^m(\gamma ,e,k,v). Furthermore, we obtained the Fekete-Szego problem for this class.

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来源期刊

Tatra Mountains Mathematical Publications Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量