Certain subclasses of p-valently analytic functions involving a generalized fractional differintegral operator | Zendy

Huo Tang | Zendy; Guantie Deng | Zendy; Shu-Hai Li | Zendy

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Certain subclasses of p-valently analytic functions involving a generalized fractional differintegral operator

Author(s) -

Huo Tang,

Guantie Deng,

Shu-Hai Li

Publication year - 2013

Publication title -

journal of the egyptian mathematical society

Language(s) - English

Resource type - Journals

eISSN - 2090-9128

pISSN - 1110-256X

DOI - 10.1016/j.joems.2013.06.009

Subject(s) - subordination (linguistics) , analytic function , unit disk , mathematics , convolution (computer science) , operator (biology) , convex function , pure mathematics , fractional calculus , hadamard product , mathematical analysis , regular polygon , computer science , geometry , hadamard transform , philosophy , linguistics , biochemistry , chemistry , repressor , machine learning , artificial neural network , transcription factor , gene

By making use of the principle of subordination between analytic functions and the generalized fractional differintegral operator, we introduce and investigate some new subclasses of p-valently analytic functions in the open unit disk. Such results as inclusion relationships, integral-preserving properties, convolution properties, subordination and superordination properties, and sandwich theorems for these classes are derived

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