Faber Polynomial Coefficient Estimates of Bi-Close-to-Convex Functions Associated with Generalized Hypergeometric Functions

Jie Zhai, Rekha Srivastava () and Jin-Lin Liu
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Jie Zhai: Department of Mathematics, Yangzhou University, Yangzhou 225002, China
Rekha Srivastava: Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
Jin-Lin Liu: Department of Mathematics, Yangzhou University, Yangzhou 225002, China

Mathematics, 2022, vol. 10, issue 17, 1-11

Abstract: A new subclass of bi-close-to-convex functions associated with the generalized hypergeometric functions defined in ∆ = { z ∈ C : | z | < 1 } is introduced. The estimates for the general Taylor–Maclaurin coefficients of the functions in the introduced subclass are obtained by making use of Faber polynomial expansions. In particular, several previous results are generalized.

Keywords: analytic function; bi-univalent function; subordination; schwarz function; bi-close-to-convex; generalized hypergeometric function; faber polynomial expansion (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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