Geometric properties for convolutions of hypergeometric functions and functions with the derivative in a halfplane

DOI10.1080/10652469908819221zbMath0938.30006OpenAlexW2084569149MaRDI QIDQ4935279

Frode Rønning, Saminathan Ponnusamy

Publication date: 21 June 2000

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

Full work available at URL: https://doi.org/10.1080/10652469908819221

zbMATH Keywords

starlikenessGaussian hypergeometric functionsconfluent 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 (17)

Connections between normalized Wright functions with families of analytic functions with negative coefficients ⋮ Properties of functions involving struve function ⋮ Unnamed Item ⋮ Generalized Lommel-Wright function and its geometric properties ⋮ Normalized generalized Bessel function and its geometric properties ⋮ Inclusion theorems of convolution operators associated with normalized hypergeometric functions ⋮ Approximation and geometric properties of some nonlinear complex integral convolution operators ⋮ Integral transforms of functions with the derivative in a halfplane ⋮ Integral transforms of certain subclasses of analytic functions ⋮ Unnamed Item ⋮ Starlikeness and convexity of generalized Bessel functions ⋮ Third-order differential superordination involving the generalized Bessel functions ⋮ On some geometric properties for the combination of generalized Lommel-Wright function ⋮ Geometric Properties of Normalized Wright Functions ⋮ Some geometric properties of a class of functions related to the Fox-Wright functions ⋮ The geometric characterizations for a combination of generalized Struve functions ⋮ Differential subordinations involving generalized Bessel functions

Cites Work

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• A proof of the Bieberbach conjecture
• On the order of starlikeness of hypergeometric functions
• Subordination properties of certain integrals
• On two extremal problems related to univalent functions
• Differential subordination and Bazilevič functions
• Starlike and Prestarlike Hypergeometric Functions
• Applications of a Convolution Theorem to Jacobi Polynomials
• On starlikeness of libera transformation
• Convexity and starlikeness of functions defined by a class of integral operators
• The Confluent Hypergeometric Function
• Differential subordination and starlike functions
• The radius of univalence of the error function

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