Certain properties of multivalent analytic functions defined by q-difference operator involving the Janowski function

Abstract

A new subclass of multivalent analytic functions is defined by means of q-difference operator and Janowski function. Some properties of functions in this new subclass such as sufficient and necessary conditions, coefficient estimates, growth and distortion theorems, radii of starlikeness and convexity, partial sums and closure theorems are studied.

Keywords

• q-difference operator
• janowski function
• multivalent analytic function
• distortion theorem
• radii of starlikeness and convexity
• partial sum
• closure theorem