ABSTRACT
In this paper, making use of symmetric differential operator, we introduce a new class of ℓ-symmetric – mutually adjoint functions. To make this study more comprehensive and versatile, we have used a differential operator involving three-parameter extension of the well-known Mittag-Leffler functions. Mainly we investigated the inclusion relation and subordination conditions which are the main results of the paper. To establish connections or relations with earlier studies, we have presented applications of main results as corollaries.
KEYWORDS: Analytic function; convex function; starlike function; Mutually-adjoint function; symmetric functions; Mittag-Leffler function; differential subordination
Journal of applied mathematics & informatics