Convolution conditions for subclasses of meromorphic functions of complex order associated with basic Bessel functions

Abstract

Making use of the operator Lq,ν associated with functions of the form f(z)=1z+∑k=1∞akzk−1, which are analytic in the punctured unit disc U*:=U∖{0}, we introduce two subclasses of meromorphic functions and investigate convolution properties and coefficient estimates for these subclasses.

Keywords

• Univalent functions
• Meromorphic functions
• Hadamard (or convolution) product
• Subordination
• q-derivative
• q-Bessel’s function