English

Quantum approach on linear combination of harmonic univalent mappings

Complex Variables 2021-08-11 v1

Abstract

In this paper using qq calculus operator we obtain some sufficient conditions on f1f_1 and f2f_2 so that their linear combination % f=tf_{1}+(1-t)f_{2},\ t\in \left[ 0,1\right] , is univalent and convex in the direction of the real axis. Some examples are also illustrated to support our main results.

Keywords

Cite

@article{arxiv.2108.04714,
  title  = {Quantum approach on linear combination of harmonic univalent mappings},
  author = {Omendra Mishra and Saurabh Porwal},
  journal= {arXiv preprint arXiv:2108.04714},
  year   = {2021}
}
R2 v1 2026-06-24T04:59:33.416Z