Criteria of univalence and fully \alpha--accessibility for p--harmonic and p--analytic functions

K. F. Amozova; E. G. Ganenkova; S. Ponnusamy

Criteria of univalence and fully \alpha--accessibility for p--harmonic and p--analytic functions

Complex Variables 2016-12-08 v1

Authors: K. F. Amozova , E. G. Ganenkova , S. Ponnusamy

Abstract

In this article, we present univalence criteria for polyharmonic and polyanalytic functions. Our approach yields new a criterion for a polyharmonic functions to be fully $\alpha$ --accessible. Several examples are presented to illustrate the use of these criteria.

Keywords

univalence criteria fully alpha-accessible p-harmonic function p-analytic function polyharmonic function polyanalytic function

Cite

@article{arxiv.1612.02220,
  title  = {Criteria of univalence and fully \alpha--accessibility for p--harmonic and p--analytic functions},
  author = {K. F. Amozova and E. G. Ganenkova and S. Ponnusamy},
  journal= {arXiv preprint arXiv:1612.02220},
  year   = {2016}
}

Comments

19 pages, 10 figures; The article is to appear Complex Variables and Elliptic Equations

Criteria of univalence and fully \alpha--accessibility for p--harmonic and p--analytic functions

Abstract

Keywords

Cite

Comments

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