Convexity of integral transforms and duality

DOI10.1080/17476933.2012.693483zbMath1381.30006arXiv1109.0609OpenAlexW3105891403MaRDI QIDQ2862975

Mahnaz M. Nargesi, Vravi Ravichandran, Rosihan Mohamed Ali

Publication date: 20 November 2013

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.0609

zbMATH Keywords

integral transformsconvolutionunivalencedualityconvex functionscoefficient inequalitiesstar-like functions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (8)

Inclusion properties of generalized integral transform using duality techniques ⋮ New subclass of the class of close-to-convex harmonic mappings defined by a third-order differential inequality ⋮ Geometric properties of certain subclass of close-to-convex harmonic mappings ⋮ Starlikeness of functions defined by third-order differential inequalities and integral operators ⋮ 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 ⋮ APPLICATION OF CONVOLUTION THEORY ON NON-LINEAR INTEGRAL OPERATORS ⋮ Integral transforms of functions to be in a class of analytic functions using duality techniques

Cites Work

• A third-order differential equation and starlikeness of a double integral operator
• Starlikeness of integral transforms and duality
• Convolutory operators preserving univalent functions
• On two extremal problems related to univalent functions
• Convexity of integral transforms and function spaces
• Starlike and Prestarlike Hypergeometric Functions
• Duality for hadamard products applied to certain integral transforms
• Geometric Properties of Convolution Operators Defined by Gaussian Hypergeometric Functions
• Convexity and starlikeness of functions defined by a class of integral operators
• On order of convexity of functions defined by certain integral transforms

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