Sufficiency for Gaussian hypergeometric functions to be uniformly convex
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Publication:1970281
DOI10.1155/S0161171299227652zbMath0951.30009MaRDI QIDQ1970281
Saminathan Ponnusamy, Yong Chang Kim
Publication date: 26 December 2000
Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/48581
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Generalized hypergeometric series, ({}_pF_q) (33C20)
Related Items (7)
The radius of uniform convexity of Bessel functions ⋮ Hypergeometric functions in the geometric function theory ⋮ Close-to-convexity of a class of harmonic mappings defined by a third-orderdifferential inequality ⋮ The pre-Schwarzian norm estimate for analytic concave functions ⋮ Sufficiency for hypergeometric transforms to be associated with conic regions ⋮ Absolutely convex, uniformly starlike and uniformly convex harmonic mappings ⋮ Hypergeometric functions in the parabolic starlike and uniformly convex domains
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