A class of \(\vartheta \)-bi-pseudo-starlike functions with respect to symmetric points associated with Telephone numbers

Abstract

In this paper we introduce a new class of \(\vartheta \)-bi-pseudo-starlike functions with respect to symmetric points associated with telephone numbers and determine the bounds of the initial Taylor–Maclaurin coefficients and the Fekete–Szegö problem for functions belonging to this class. Some special cases of main results presented here are stated which are new and give better improvement to the initial Taylor-Maclaurin coefficients.