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

TL;DR

This paper establishes new univalence criteria for polyharmonic and polyanalytic functions, introducing conditions for full cessibility, supported by illustrative examples.

Contribution

It provides novel univalence and cessibility criteria specifically for polyharmonic and polyanalytic functions, expanding theoretical understanding.

Findings

New univalence criteria for polyharmonic functions

Criteria for full cessibility of polyharmonic functions

Illustrative examples demonstrating the criteria

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.