Fekete-Szego inequality of bi-starlike and bi-convex functions of order b associated with symmetric q-derivative in conic domains

Bharavi Sharma Rayaprolu, Rajya Laxmi Kalikota, Nanjundan Magesh

Abstract


In this paper, two new subclasses of bi-univalent functions related to conic domains are defined by making use of symmetric $q$-differential operator. The initial bounds for Fekete-Szeg\"{o} inequality for the functions $f$ in these classes are estimated.

Keywords


Analytic function; Bi-univalent function; Bi-starlike function; Bi-convex function; Conic domain; $q$-differential operator; Fekete-Szeg\"{o} inequality

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References


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DOI: http://dx.doi.org/10.24193/subbmath.2022.3.02

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