Closure properties of operators on the Ma-Minda type starlike and convex functions

DOI10.1016/j.amc.2011.01.055zbMath1225.30004OpenAlexW2025550635MaRDI QIDQ648157

Abeer O. Badghaish, Vravi Ravichandran, Rosihan Mohamed Ali

Publication date: 22 November 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.01.055

zbMATH Keywords

analytic functionsintegral operatorsdifferential subordinationMa-Minda type starlike and convex functions

Mathematics Subject Classification ID

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

Cites Work

• Subclasses of multivalent starlike and convex functions
• Some general univalence criteria for a family of integral operators
• A convexity property for an integral operator on the class \(S_{P}(\beta )\)
• Convexity of integral operators of \(p\)-valent functions
• An extension of the univalent condition for a family of integral operators
• An integral transformation of some classes of regular univalent functions
• Properties of certain \(p\)-valently convex functions
• Certain properties of parabolic starlike and convex functions of order \(\rho\)
• The close-to-convexity and univalence of an integral
• A Note on the paper of Breaz and Güney
• A Subordination for Convex Functions of Order α
• On Close-to-Convex Analytic Functions
• Starlike integral operators
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