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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