Certain subclass of polylogarithm functions defined by a generalized differential operator

Certain subclass of polylogarithm functions defined by a generalized differential operator

In this paper, we define a new subclass of polylogarithm functions and obtained coefficient estimates, growth and distortion theorems, extreme points, radii of starlikeness, convexity and close to convexity for the class TSmλ (γ, α, κ, β). Furthermore, we obtained the Fekete-Szego problem for the cl...

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Veröffentlicht in:Bulletin of the Transilvania University of Brașov. Series III, Mathematics, informatics, physics Mathematics, informatics, physics, 2020, Vol.13(62) (1), p.261-272
Hauptverfasser: Rani, N., Reddy, P. Thirupathi, Venkateswarlu, B.
Format: Artikel
Sprache:eng
Schlagworte:
Convexity
Differential equations
Operators (mathematics)
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Zusammenfassung:In this paper, we define a new subclass of polylogarithm functions and obtained coefficient estimates, growth and distortion theorems, extreme points, radii of starlikeness, convexity and close to convexity for the class TSmλ (γ, α, κ, β). Furthermore, we obtained the Fekete-Szego problem for the class also.
ISSN:2065-2151
2065-216X
DOI:10.31926/but.mif.2020.13.62.1.20