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

Norah Saud Almutairi (), Awatef Shahen and Hanan Darwish
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Norah Saud Almutairi: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Awatef Shahen: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Hanan Darwish: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

Mathematics, 2023, vol. 11, issue 13, 1-10

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 A s , c d ψ , τ , ν , η and the q- hypergeometric functions. For the function belonging to the class A s , c d ψ , 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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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