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

2016/12/07 by Amozova, K. F., Ganenkova, E. G., Ponnusamy, S.
#30C45 #31A30 #31C05 #52A30 #Complex Variables (math.CV) #FOS: Mathematics #Primary: 31A05 #Secondary: 30C20

paper · doi:10.48550/arxiv.1612.02220

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 α--accessible. Several examples are presented to illustrate the use of these criteria.

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