On fuzzy differential subordination associated with q-difference operator

Abstract

This article presents the link between the fuzzy differential subordination and the q-theory of functions. We use the fuzzy differential subordination to define certain subclasses of univalent functions associated with the q-difference operator. Certain inclusion results are proved, and invariance of the q-Bernardi integral operator for certain classes is discussed.

Keywords

• analytic functions
• q-difference operator
• fuzzy differential subordination
• the q-srivastava-attiya operator
• the q-multiplier transformation