Some geometric properties of multivalent functions associated with a new generalized q-Mittag-Leffler function

Abstract

In this article, a new generalized q-Mittag-Leffler function is introduced and investigated. Motivated by the newly defined function and using the concept of differential subordination, a new subclass of multivalent functions is introduced. Some geometric properties of them are obtained. Furthermore, the radii for the aforementioned subclass associated with a generalized Srivastava-Attiya integral operator are also studied.

Keywords

• generalized mittag-leffler function
• multivalent function
• hadamard product
• convex linear combination
• generalized srivastava-attiya operator