On applications of hypergeometric functions

DOI10.1016/S0377-0427(99)00010-2zbMath0946.30009MaRDI QIDQ1301942

Roger W. Barnard

Publication date: 17 October 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

hypergeometric functionsRobertson's conjectureBrannan's conjecture

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Generalized hypergeometric series, ({}_pF_q) (33C20) Research exposition (monographs, survey articles) pertaining to special functions (33-02) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Cites Work

• On a coefficient conjecture of Brannan
• A positive sum from summability theory
• Gram polynomials and the Kummer function
• Inequalities for compound mean iterations with logarithmic asymptotes
• Precise estimates for differences of the Gaussian hypergeometric function
• On the omitted area problem
• An application of hypergeometric functions to a problem in function theory
• A generalization of the Bieberbach coefficient problem for univalent functions
• A survey of the developement of the theory of schlicht functions
• On values omitted by convex univalent mappings
• Robertson's Conjecture on the Coefficients of Close-to-Convex Functions
• On a Coefficient Conjecture of Brannan
• Research Problems in Complex Analysis
• Asymptotic expansions and inequalities for hypergeometric function
• On a Coefficient Inequality for Starlike Functions
• Inequalities for Zero-Balanced Hypergeometric Functions
• An Inequality Involving the Generalized Hypergeometric Function and the Arc Length of an Ellipse
• Quasi-subordination and coefficient conjectures
• Geometric Problems in Complex Analysis
• Note on regions omitted by univalent functions
• [https://portal.mardi4nfdi.de/wiki/Publication:5830786 Schlicht Solutions of W � � + pW = 0]
• On Regions Omitted By Univalent Functions II
• Rounding corners of gearlike domains and the omitted area problem
• Inequalities for the perimeter of an ellipse
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