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OPEN ACCESS eISSN 0454-8124
pISSN 1225-6951
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Kyungpook Mathematical Journal 2018; 58(2): 243-255

Published online June 23, 2018

Copyright © Kyungpook Mathematical Journal.

Certain Subclasses of k–uniformly Functions Involving the Generalized Fractional Differintegral Operator

Tamer Mohamed Seoudy

Department of Mathematics, Faculty of Science, Fayoum University, Fayoum 63514, Egypt, e-mail : tms00@fayoum.edu.eg

Received: April 25, 2013; Accepted: April 12, 2016

Abstract

We introduce several k–uniformly subclasses of p–valent functions defined by the generalized fractional differintegral operator and investigate various inclusion relationships for these subclasses. Some interesting applications involving certain classes of integral operators are also considered.

Keywords: analytic functions, k-uniformly starlike functions, k-uniformly convex functions, k-uniformly close-to-convex functions, k-uniformly quasi-convex functions, integral operator, Hadamard product, subordination