SOME INCLUSION PROPERTIES FOR CERTAIN K-UNIFORMLY SUBCLASSES OF ANALYTIC FUNCTIONS ASSOCIATED WITH WRIGHT FUNCTION

Authors

  • E. E. Ali Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said 42521, Egypt

DOI:

https://doi.org/10.29121/granthaalayah.v7.i9.2019.604

Keywords:

Analytic Functions, K-Uniformly Starlike Function, K-Uniformly Convex Functions, K-Uniformly Close-To-Convex Functions, K-Uniformly Quasi-Convex Functions, Hadamard Product, Subordination

Abstract [English]

A new operator  is introduced for functions of the form   which are analytic in the open unit disk . We introduce several inclusion properties of the new k-uniformly classes , ,    and    of analytic functions defined by using the Wright function with the operator    and the main object of this paper is to investigate various inclusion relationships for these classes. In addition, we proved that a special property is preserved by some integral operators.

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Published

2019-09-30

How to Cite

Ali, E. E. (2019). SOME INCLUSION PROPERTIES FOR CERTAIN K-UNIFORMLY SUBCLASSES OF ANALYTIC FUNCTIONS ASSOCIATED WITH WRIGHT FUNCTION. International Journal of Research -GRANTHAALAYAH, 7(9), 218–229. https://doi.org/10.29121/granthaalayah.v7.i9.2019.604