On geometric properties of the ratio of two hypergeometric functions

DOI10.1007/s40315-023-00489-1zbMATH Open1543.30052MaRDI QIDQ6561409

Limei Wang, Toshiyuki Sugawa

Publication date: 25 June 2024

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

zbMATH Keywords

convex functionsGaussian hypergeometric functionsstar-like 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)

Cites Work

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• Completely monotone sequences and universally prestarlike functions
• Über totalmonotone Zahlenfolgen
• Functional inequalities for the quotients of hypergeometric functions
• Mapping properties of hypergeometric functions and convolutions of starlike or convex functions of order \(\alpha\)
• On the order of convexity for the shifted hypergeometric functions
• Mapping properties of the zero-balanced hypergeometric functions
• Completely monotone sequences and harmonic mappings

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