Properties of Certain Subclass of Meromorphic Multivalent Functions Associated with <i>q</i>-Difference Operator

Abstract

A new subclass Σp,q(α,A,B) of meromorphic multivalent functions is defined by means of a q-difference operator. Some properties of the functions in this new subclass, such as sufficient and necessary conditions, coefficient estimates, growth and distortion theorems, radius of starlikeness and convexity, partial sums and closure theorems, are investigated.

Keywords

• <i>q</i>-difference operator
• Janowski function
• meromorphic multivalent function
• distortion theorem
• partial sum
• closure theorem