SOME INCLUSION PROPERTIES FOR CERTAIN K-UNIFORMLY SUBCLASSES OF ANALYTIC FUNCTIONS ASSOCIATED WITH WRIGHT FUNCTION
Journal Title: International journal of research -GRANTHAALAYAH - Year 2019, Vol 7, Issue 9
Abstract
A new operator n n n n f z z a z n n ( ) 4 ( ) ( ( 1) ) , 2 ( 1) 1 ( ) W is introduced for functions of the form n n n f z z a z 2 which are analytic in the open unit disk U z C: z 1 . We introduce several inclusion properties of the new k-uniformly classes US ;k; , UC;k; , UK;k; , and UK ;k; , of analytic functions defined by using the Wright function with the operator W, 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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- DOI 10.5281/zenodo.3473005
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