Title of article :
Harmonic univalent functions related to q-derivative based on basic hypergeometric function
Author/Authors :
Najafzadeh, shahram Payame Noor University, Tehran , Dehdast, Zeynab Payame Noor University, Tehran , Foroutan, Mohammad Reza Payame Noor University, Tehran
Abstract :
We study a family of harmonic univalent functions using
an operator involving q-derivative and hypergeometric function. Pre-
cisely we obtain a necessary and sucient condition for functions in
this family. Extreme points and convexity of such functions are also
introduced.
Keywords :
Harmonic function , q-derivative , Hypergeometric function , Convolution , Extreme point , Convex set
Journal title :
Journal of Mathematical Extension(IJME)
