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

Venkateswarlu, Bolineni; Reddy, Pinninti Thirupathi; Sridevi, Settipalli; Sujatha, Vaishnavy

doi:10.2478/tmmp-2021-0006

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 $T S_{λ}^{m} (γ, e, k, v)$ TS_\lambda ^m(\gamma ,e,k,v). Furthermore, we obtained the Fekete-Szego problem for this class.

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

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