Integral transforms of functions to be in certain class defined by the combination of starlike and convex functions

DOI10.1016/j.camwa.2011.12.077zbMath1251.30024OpenAlexW1969275175MaRDI QIDQ453862

Anbhu Swaminathan, Kondooru Raghavendar

Publication date: 30 September 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.12.077

zbMATH Keywords

integral transformshypergeometric functionsconvex functionsstarlike functionsPascu-class of \(\alpha \)-convex functions

Mathematics Subject Classification ID

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

Related Items (2)

Sufficient conditions concerning the unified class of starlike and convex functions ⋮ Integral transforms of functions to be in a class of analytic functions using duality techniques

Cites Work

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• On the order of starlikeness of the shifted Gauss hypergeometric function
• Univalent polynomials and fractional order differences of their coefficients
• On two extremal problems related to univalent functions
• Duality techniques for certain integral transforms to be starlike
• Inclusion theorems of convolution operators associated with normalized hypergeometric functions
• Lacunary power series and univalent functions
• Convexity of integral transforms and function spaces
• Successive Coefficients of Univalent Functions
• Convexity and starlikeness of functions defined by a class of integral operators
• Integral transforms of certain subclasses of analytic functions

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