SOME INCLUSION RELATIONSHIPS ASSOCIATED WITH A CERTAIN CLASS OF INTEGRAL OPERATORS

DOI10.1142/S1793557110000519zbMath1206.30034OpenAlexW2149609788MaRDI QIDQ3067253

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

Publication date: 20 January 2011

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557110000519

zbMATH Keywords

convex functionstarlike functionquasi-convex function\(p\)-valent functionclose-to-convex function

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Spherical harmonics (33C55) Inequalities in the complex plane (30A10)

Related Items (4)

Inclusion properties for classes of \(p\)-valent functions associated with linear operator ⋮ Certain subclasses of multivalent meromorphic functions involving iterations of the Cho–Kwon–Srivastava transform and its combinations ⋮ On integral operators for certain classes of \(p\)-valent functions associated with generalized multiplier transformations ⋮ Certain subordination results involving a generalized multiplier transformation operator

Cites Work

• Some functional inequalities and inclusion relationships associated with certain families of integral operators
• On quasi-convex functions and related topics
• On a class of p-valent close-to-convex functions of order \(\beta\) and type \(\alpha\)
• An application of a certain integral operator
• Second order differential inequalities in the complex plane
• The Hardy space of analytic functions associated with certain one-parameter families of integral operators
• Argument estimates of certain analytic functions defined by a class of multiplier transformations.
• On univalent functions defined by a generalized Sălăgean operator
• Some inclusion relationships and integral-preserving properties of certain subclasses of meromorphic functions associated with a family of integral operators
• On a subclass of \(n-p\)-valent prestarlike functions
• Subordination properties of \(p\)-valent functions defined by integral operators
• The dual of an inequality of Hardy and Littlewood and some related inequalities
• Differential sandwich theorems for certain subclasses of analytic functions involving multiplier transformations
• A class of multivalently analytic functions associated with the Dziok–Srivastava operator
• MULTIPLIER TRANSFORMATIONS AND STRONGLY CLOSE-TO-CONVEX FUNCTIONS
• ON A SUBCLASS OF CERTAIN STARLIKE FUNCTIONS WITH NEGATIVE COEFFICIENTS
• Some subclasses of multivalent analytic functions involving the Dziok–Srivastava operator
• Some radius of convexity problems

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