Geometric Properties of Convolution Operators Defined by Gaussian Hypergeometric Functions

DOI10.1080/10652460212900zbMath1019.30011OpenAlexW2051964850MaRDI QIDQ4782647

Jae Ho Choi, Yong Chang Kim, Megumi Saigo

Publication date: 2 December 2002

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

Full work available at URL: https://doi.org/10.1080/10652460212900

zbMATH Keywords

starlike functionGaussian hypergeometric 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 (13)

Inclusion properties of generalized integral transform using duality techniques ⋮ Hölder mean inequalities for the complete elliptic integrals ⋮ On approximating the arc lemniscate functions ⋮ Sharp power-type Heronian and Lehmer means inequalities for the complete elliptic integrals ⋮ Inclusion theorems of convolution operators associated with normalized hypergeometric functions ⋮ Approximation and geometric properties of some nonlinear complex integral convolution operators ⋮ Geometric properties of an integral operator ⋮ Sufficiency for hypergeometric transforms to be associated with conic regions ⋮ Geometric properties of certain analytic functions associated with generalized fractional integral operators ⋮ APPLICATION OF CONVOLUTION THEORY ON NON-LINEAR INTEGRAL OPERATORS ⋮ Duality techniques for certain integral transforms to be starlike ⋮ Convexity of integral transforms and duality ⋮ Convexity of integral transforms and function spaces

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