Meromorphic functions with missing coefficients defined by q-derivative

By considering a fixed point in the punctured unit disk and using the q--derivative, a new subfamily of meromorphic and univalent functions is defined. Also, the first and second order {q--derivative} of meromorphic functions are introduced. Coefficient bounds, extreme points, radii of starlikeness and convexity are obtained. Furthermore, the convexity and preserving under convolution with some restrictions on parameters are investigated

Keywords:

Meromophic functions , q--derivative , Convex set , Extreme points , Coefficient estimate