Sufficient conditions for hypergeometric functions to be in a certain class of analytic functions

DOI10.1016/J.CAMWA.2009.12.029zbMath1189.33008OpenAlexW2066578399MaRDI QIDQ980207

Anbhu Swaminathan

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.12.029

zbMATH Keywords

convexclose-to-convex functionsstarlikeGaussian hypergeometric functionsunivalentincomplete beta functions

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)

Related Items (6)

Geometric properties of the four parameters Wright function ⋮ On the inclusion properties for $\vartheta $-spirallike functions involving both Mittag-Leffler and Wright function ⋮ Sufficiency for nephroid starlikeness using hypergeometric functions ⋮ The Fekete-Szegö estimates for a new class of analytic functions associated with the convolution ⋮ Fekete-Szegö problem for a new class of analytic functions ⋮ Certain subclasses of bi-univalent functions satisfying subordinate conditions

Cites Work

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• Starlike Hypergeometric Functions
• Integral transforms of a class of analytic functions§
• Starlike and Prestarlike Hypergeometric Functions
• Successive Coefficients of Univalent Functions
• Asymptotic expansions and inequalities for hypergeometric function
• Convexity of the incomplete beta functions
• Generating Functions for Bessel and Related Polynomials

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