Starlikeness of integral transforms and duality

DOI10.1016/j.jmaa.2011.07.014zbMath1244.30008OpenAlexW1978204602MaRDI QIDQ641641

Abeer O. Badghaish, Rosihan Mohamed Ali, Vravi Ravichandran, Anbhu Swaminathan

Publication date: 24 October 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.07.014

zbMATH Keywords

convolutionunivalenceintegral transformdualitystarlike function

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Related Items (14)

A class of harmonic functions associated with a generalized differential operator ⋮ Inclusion properties of generalized integral transform using duality techniques ⋮ Geometric properties of certain subclass of close-to-convex harmonic mappings ⋮ Starlikeness of Gaussian hypergeometric functions using positivity techniques ⋮ Subclass of analytic functions with negative coefficients related with Miller-Ross-type Poisson distribution series ⋮ Starlikeness of functions defined by third-order differential inequalities and integral operators ⋮ Geometric properties of an integral operator ⋮ Convexity of functions defined by differential inequalities and integral operators ⋮ Inclusion properties for a class of analytic functions defined by a second-order differential inequality ⋮ On an integral transform of a class of analytic functions ⋮ APPLICATION OF CONVOLUTION THEORY ON NON-LINEAR INTEGRAL OPERATORS ⋮ Integral transforms of functions to be in a class of analytic functions using duality techniques ⋮ Convexity of integral transforms and duality ⋮ Duality and integral transform of a class of analytic functions

Cites Work

• A third-order differential equation and starlikeness of a double integral operator
• Convolutory operators preserving univalent functions
• Differential subordinations concerning starlike functions
• On two extremal problems related to univalent functions
• On hypergeometric functions and function spaces
• Duality techniques for certain integral transforms to be starlike
• On extremal problems related to integral transforms of a class of analytic functions
• Integral transforms of a class of analytic functions§
• Starlike and Prestarlike Hypergeometric Functions
• Convolution Properties of a Class of Starlike Functions
• Duality for Hadamard Products With Applications to Extremal Problems for Functions Regular in the Unit Disc
• Duality for hadamard products applied to certain integral transforms
• Integral transforms of certain subclasses of analytic functions
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