Differential subordination and superordination for certain subclasses of \(p\)-valent functions

DOI10.1016/J.MCM.2009.12.027zbMath1190.30013OpenAlexW2040996814MaRDI QIDQ984176

M. K. Aouf, Rabha Md. El-Ashwah

Publication date: 16 July 2010

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2009.12.027

zbMATH Keywords

analytic functiondifferential subordinationmultiplier transformation\(p\)-valent

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)

Related Items (4)

Sandwich results for subclasses of multivalent meromorphic functions associated with iterations of the Cho-Kwon-Srivastava transform ⋮ Hankel determinant for a class of analytic functions of complex order defined by convolution ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On certain properties for some classes of starlike functions
• Classes of analytic functions associated with the generalized hypergeometric function,
• Argument estimates of certain analytic functions defined by a class of multiplier transformations.
• On some criteria for univalence and starlikeness
• On univalent functions defined by a generalized Sălăgean operator
• A class of superordination-preserving integral operators
• On a subclass of \(n-p\)-valent prestarlike functions
• Subordination properties of \(p\)-valent functions defined by integral operators
• On sandwich theorems for some classes of analytic functions
• On some results for λ-Spirallike and λ-Robertson functions of complex order
• Differential sandwich theorems for certain subclasses of analytic functions involving multiplier transformations
• Certain Subclasses of Analytic Functions Associated with the Generalized Hypergeometric Function
• MULTIPLIER TRANSFORMATIONS AND STRONGLY CLOSE-TO-CONVEX FUNCTIONS
• Subordinants of differential superordinations
• ON A SUBCLASS OF CERTAIN STARLIKE FUNCTIONS WITH NEGATIVE COEFFICIENTS
• On the univalence of a certain integral

This page was built for publication: Differential subordination and superordination for certain subclasses of \(p\)-valent functions