Title of article :
MEROMORPHIC FUNCTIONS WITH MISSING COEFFICIENTS DEFINED BY q-DERIVATIVE
Author/Authors :
Najafzadeh ، Shahram Department of Mathematics - Payame Noor University , Behpur ، Tahereh Department of Mathematics - Payame Noor University , Ebadian ، Ali Department of Mathematics - Urmia University , Haghi ، Robab H. Department of Mathematics - Payame Noor University
Abstract :
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 mero-morphic functions are introduced. Coefficient bounds, extreme points, radii of starlikeness and convexity are obtained. Furthermore, the con-vexity and preserving under convolution with some restrictions on pa-rameters are investigated.
Keywords :
Meromophic functions , q–derivative , Convex set , Extreme points , Coefficient estimate.
Journal title :
Journal of Mahani Mathematical Research Center
Journal title :
Journal of Mahani Mathematical Research Center
