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.
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页码：1165 / 1183
页数：19
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