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

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.

arXiv comment19 pages, 10 figures; The article is to appear Complex Variables and Elliptic Equations