Continuation of Polyanalytic Functions

被引：0

作者：

Ishankulov, T. ^{[1
]}

Fozilov, D. Sh ^{[2
]}

机构：

[1] Samarkand State Univ, 15 Univ Blv, Samarkand 140104, Uzbekistan

[2] Tashkent Univ Informat Technol, Samarkand Branch, 47a Shohruh Mirzo Str, Samarkand 140100, Uzbekistan

来源：

RUSSIAN MATHEMATICS | 2021年 / 65卷 / 08期

关键词：

Cauchy-Riemann equation; polyanalytic function; Cauchy integral theorem; Sokhotski-Plemelj formula; continuation; formula;

D O I：

10.3103/S1066369X21080041

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the problem of continuation of an n-analytic function into a domain by the values of its successive derivatives up to the (n - 1)th order given on a part of the boundary. For such functions, we also consider the problem of finding the conditions under which the Cauchy type integral becomes the Cauchy integral.

引用

页码：32 / 39

页数：8

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