On Meromorphic Parabolic Starlike Functions with Fixed Point Involving the q-Hypergeometric Function and Fixed Second Coefficients

Abstract

This article defines a new class of meromorphic parabolic starlike functions in the punctured unit disc D*={z∈C:0|z|1} that includes fixed second coefficients of class As,cdψ,τ,ν,η and the q- hypergeometric functions. For the function belonging to the class As,cdψ,τ,ν,η, some properties are obtained, including the coefficient inequalities, closure theorems, and the radius of convexity.

Keywords

• meromorphic parabolic functions
• univalent
• starlike function
• q-hypergeometric function