A New Subclass of Certain Analytic Univalent Functions Associated with Hypergeometric Functions

DOI10.3906/mat-2108-101zbMath1493.30020OpenAlexW4206289292MaRDI QIDQ5101034

Alaattin Akyar

Publication date: 2 September 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-2108-101

zbMATH Keywords

convex functionunivalent functionhypergeometric functionuniformly convex functionsstar-like function

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Classical hypergeometric functions, ({}_2F_1) (33C05)

Cites Work

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• On uniformly starlike functions
• A proof of the Bieberbach conjecture
• Univalent functions starlike with respect to a boundary point
• Hypergeometric transforms of functions with derivative in a half plane
• Transformations of some Gauss hypergeometric functions
• Hadamard products of schlicht functions and the Polya-Schoenberg conjecture
• Starlike and Prestarlike Hypergeometric Functions
• Uniformly convex functions
• New Criteria for Univalent Functions
• Univalent Functions with Negative Coefficients
• Uniformly Convex Functions and a Corresponding Class of Starlike Functions
• Coefficients of Meromorphic Schlicht Functions
• On uniformly convex functions

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