Some inclusion properties for certain subclasses of strongly starlike and strongly convex functions involving a family of fractional integral operators

DOI10.1080/10652460701449668zbMath1142.26005OpenAlexW2051666317MaRDI QIDQ5423819

Hari M. Srivastava, Jugal Kishore Prajapat, Ravinder Krishen Raina

Publication date: 31 October 2007

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460701449668

zbMATH Keywords

Gauss hypergeometric functionanalytic functionsstarlike functions

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) Generalized hypergeometric series, ({}_pF_q) (33C20) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Related Items (21)

On certain subclasses of multivalent functions defined by a generalized fractional differintegral operator ⋮ Inclusion relations for subclasses of multivalent functions defined by Srivastava-Saigo-Owa fractional differintegral operator ⋮ Subordinating results for \(p\)-valent functions associated with the Srivastava-Saigo-Owa fractional differintegral operator ⋮ Some characterizations of integral operators associated with certain classes of \(p\)-valent functions defined by the Srivastava-Saigo-Owa fractional differintegral operator ⋮ Unnamed Item ⋮ Some inclusion relations associated with generalized fractional differential-integral operator ⋮ Majorization problem for certain class of \(p\)-valently analytic function defined by generalized fractional differintegral operator ⋮ Approximation and geometric properties of some nonlinear complex integral convolution operators ⋮ The order of starlikeness of some classes of strongly starlike functions ⋮ Subordination results on multivalent functions related to the Saigo fractional differintegral operator ⋮ Certain subclasses of \(p\)-valently analytic functions involving a generalized fractional differintegral operator ⋮ Multivalent functions associated with Srivastava-Saigo-Owa fractional differintegral operator ⋮ Sufficient conditions for strongly star-like functions involving the generalized Srivastava–Attiya operator ⋮ Results of differential subordination for a unified subclass of analytic functions defined using generalized Ruscheweyh derivative operator ⋮ Subordination properties for multivalent functions associated with a generalized fractional differintegral operator ⋮ Applications of differential subordinations involving a generalized fractional differintegral operator ⋮ On strongly starlike and strongly convex functions with bounded radius and bounded boundary rotation ⋮ Subordination and superordination properties ofp-valent functions defined by a generalized fractional differintegral operator ⋮ Double subordination preserving properties for generalized fractional differ-integral operator ⋮ The order of strongly starlikeness of the generalized \(\alpha\)-convex functions ⋮ Inclusion results for certain subclasses of spiral-like multivalent functions involving a generalized fractional differintegral operator

Cites Work

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• Applications of the Jack lemma
• Some functional inequalities and inclusion relationships associated with certain families of integral operators
• A class of distortion theorems involving certain operators of fractional calculus
• On properties of non-Carathéodory functions
• The Hardy space of analytic functions associated with certain one-parameter families of integral operators
• A certain subclass of analytic functions associated with operators of fractional calculus
• Applications of fractional calculus to parabolic starlike and uniformly convex functions
• Certain integral operator and strongly starlike functions
• Differential sandwich theorems for certain subclasses of analytic functions involving multiplier transformations
• Construction of a Certain Class of Harmonic Close-To-Convex Functions Associated with the Alexander Integral Transform
• Some inclusion properties of the classP_α(β)

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