APPLICATION OF CONVOLUTION THEORY ON NON-LINEAR INTEGRAL OPERATORS

DOI10.11568/kjm.2016.24.3.409zbMath1432.30009OpenAlexW2552536961MaRDI QIDQ5216598

Satwanti Devi, Anbhu Swaminathan

Publication date: 18 February 2020

Published in: Korean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11568/kjm.2016.24.3.409

zbMATH Keywords

integral transformshypergeometric functionsHadamard productconvex functionsstarlike functionsduality techniques

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) Classical hypergeometric functions, ({}_2F_1) (33C05) General theory of univalent and multivalent functions of one complex variable (30C55)

Cites Work

• A differential inequality and starlikeness of a double integral
• Starlikeness of integral transforms and duality
• Application of duality techniques to starlikeness of weighted integral transforms
• On two extremal problems related to univalent functions
• Inclusion properties of generalized integral transform using duality techniques
• Integral transforms of functions to be in a class of analytic functions using duality techniques
• Convexity of integral transforms and duality
• Starlike and Prestarlike Hypergeometric Functions
• Geometric Properties of Convolution Operators Defined by Gaussian Hypergeometric Functions
• Convexity and starlikeness of functions defined by a class of integral operators
• On Bazilevic Functions
• Integral transforms of certain subclasses of analytic functions
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