A note on convolution of Janowski type functions with q-derivative

Abstract

The purpose of the present paper is to introduce and study new subclasses of analytic functions which generalize the classes of Janowski functions with q-derivative. We also study certain a convolution conditions, and apply the convolution conditions to get sufficient condition and the neighborhood results related to the functions in the class 𝒮q(A, B, α).

Keywords

• janowski functions
• subordination
• starlike functions
• convex functions
• q-derivative
• convolution or hadamard product
• 30c45