A Certain Subclass of Analytic Functions with Negative Coefficients Defined by Gegenbauer Polynomials
Autor: | Venkateswarlu, Bolineni, Reddy, Pinninti Thirupathi, Sridevi, Settipalli, Sujatha, Vaishnavy |
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Zdroj: | Tatra Mountains Mathematical Publications; January 2022, Vol. 78 Issue: 1 p73-84, 12p |
Abstrakt: | 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. |
Databáze: | Supplemental Index |
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