Harmonic univalent functions related to q-derivative based on basic hypergeometric function

shahram Najafzadeh, Zeynab Dehdast, Mohammad Reza Foroutan

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

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