Convexity of the incomplete beta functions

DOI10.1080/10652460600871657zbMath1200.30025OpenAlexW2146461697MaRDI QIDQ5422414

Anbhu Swaminathan

Publication date: 19 October 2007

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460600871657

zbMATH Keywords

Gaussian hypergeometric functionsincomplete beta functions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Related Items (3)

Coefficient conditions for starlikeness of nonnegative order ⋮ Sufficiency for nephroid starlikeness using hypergeometric functions ⋮ Sufficient conditions for hypergeometric functions to be in a certain class of analytic functions

Cites Work

• On the order of starlikeness of hypergeometric functions
• Differential subordinations and inequalities in the complex plane
• Hypergeometric transforms of functions with derivative in a half plane
• Starlike and convexity properties for hypergeometric functions
• Hadamard products of schlicht functions and the Polya-Schoenberg conjecture
• Duality for hadamard products applied to certain integral transforms
• Univalence and convexity properties for Gaussian hypergeometric functions

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