Applications of differential subordinations involving a generalized fractional differintegral operator

DOI10.1186/s13660-019-2198-0zbMath1499.30200OpenAlexW2973183559MaRDI QIDQ2068012

Hanaa M. Zayed, Teodor Bulboacă

Publication date: 19 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-019-2198-0

zbMATH Keywords

analytic function\(p\)-valent functionsgeneralized fractional integral operatoradmissible functionsthird-order differential subordinationgeneralized fractional derivative operator

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Cites Work

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• Some characterizations of integral operators associated with certain classes of \(p\)-valent functions defined by the Srivastava-Saigo-Owa fractional differintegral operator
• Majorization problem for certain class of \(p\)-valently analytic function defined by generalized fractional differintegral operator
• Inclusion results for certain classes of analytic functions associated with a new fractional differintegral operator
• Third-order differential superordination involving the generalized Bessel functions
• Third-order differential subordination results for analytic functions involving the generalized Bessel functions
• A class of distortion theorems involving certain operators of fractional calculus
• On univalent functions defined by a generalized Sălăgean operator
• On certain subclasses of multivalent functions defined by a generalized fractional differintegral operator
• On a subclass of \(n-p\)-valent prestarlike functions
• Inclusion results for certain subclasses of spiral-like multivalent functions involving a generalized fractional differintegral operator
• Third-order differential inequalities and subordinations in the complex plane
• Distortion and Convolutional Theorems for Operators of Generalized Fractional Calculus Involving Wright Function
• Some characterization and distortion theorems involving fractional calculus, generalized hypergeometric functions, Hadamard products, linear operators, and certain subclasses of analytic functions
• Univalent and Starlike Generalized Hypergeometric Functions
• ON A SUBCLASS OF CERTAIN STARLIKE FUNCTIONS WITH NEGATIVE COEFFICIENTS
• Subordination and superordination properties ofp-valent functions defined by a generalized fractional differintegral operator
• Some inclusion properties for certain subclasses of strongly starlike and strongly convex functions involving a family of fractional integral operators
• CERTAIN SUBCLASSES OF MULTIVALENT PRESTARLIKE FUNCTIONS WITH NEGATIVE COEFFICIENTS

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