On subclass of \(k\)-uniformly convex functions of complex order involving multiplier transformations

DOI10.1155/2012/150571zbMath1247.30013OpenAlexW1980033790WikidataQ58694944 ScholiaQ58694944MaRDI QIDQ448590

Ali Hamza Abada, Waggas Galib Atshan

Publication date: 7 September 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/150571

zbMATH Keywords

coefficient estimatesradius of convexity\(k\)-uniformly convex functionsradius of close-to-convexity

Mathematics Subject Classification ID

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

Cites Work

• Neighborhoods and partial sums of subclass of \(k\)-uniformly convex functions and related class of \(k\)-starlike functions with negative coefficients based on an integral operator
• A new subclass of Salagean-type harmonic univalent functions
• Certain subclasses of starlike functions of complex order involving generalized hypergeometric functions
• Conic regions and \(k\)-uniform convexity
• Neighborhoods of a class of analytic functions with negative coefficients
• MULTIPLIER TRANSFORMATIONS AND STRONGLY CLOSE-TO-CONVEX FUNCTIONS
• Starlike and convex functions of complex order involving the Dziok-Srivastava operator
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