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

Authors

  • shahram Najafzadeh Payame Noor University
  • Zeynab Dehdast Payame Noor University
  • Mohammad Reza Foroutan Payame Noor University

Keywords:

Harmonic function, q-derivative, Hypergeometric function, Convolution, Extreme point, Convex set

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.

Author Biography

shahram Najafzadeh, Payame Noor University

Mathematics

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Published

2021-08-28

Issue

Vol. 16

Section

Vol. 16, No. 6, (2022)

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