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

被引：9

作者：

Amozova, K. F. ^{[1
]}

Ganenkova, E. G. ^{[1
]}

Ponnusamy, S. ^{[2
]}

机构：

[1] Petrozavodsk State Univ, Fac Math & Informat Technol, Petrozavodsk, Russia

[2] ISI, Chennai Ctr, SETS, Madras, Tamil Nadu, India

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2017年 / 62卷 / 08期

关键词：

Univalence; p-harmonic; p-analytic function; fully a-accessible function; a-accessible domain; starlike domain and Elliptic PDE; DIFFERENTIAL-OPERATORS; BIHARMONIC MAPPINGS; DOMAINS;

D O I：

10.1080/17476933.2016.1273908

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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

引用

页码：1165 / 1183

页数：19

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