Riemann boundary-value problem for doubly-periodic bianalytic functions

Abstract In this paper, we study Riemann boundary-value problem for doubly-periodic bianalytic functions. By the decomposition of doubly-periodic polyanalytic functions, the problem is transformed into two equivalent and independent Riemann boundary-value problems of doubly-periodic analytic functio...

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Main Authors:	Huili Han, Hua Liu, Yufeng Wang
Format:	Article
Language:	English
Published:	SpringerOpen 2018-05-01
Series:	Boundary Value Problems
Subjects:	Doubly-periodic bianalytic function Riemann boundary-value problem Growth order Canonical function Freedom
Online Access:	http://link.springer.com/article/10.1186/s13661-018-1005-z

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spelling	doaj-adfa693a084941cca734543b6ecb860c2020-11-25T00:27:31ZengSpringerOpenBoundary Value Problems1687-27702018-05-012018112010.1186/s13661-018-1005-zRiemann boundary-value problem for doubly-periodic bianalytic functionsHuili Han0Hua Liu1Yufeng Wang2School of Mathematics and Statistics, Ningxia UniversityDepartment of Mathematics, Tianjin University of Technology and EducationSchool of Mathematics and Statistics, Wuhan UniversityAbstract In this paper, we study Riemann boundary-value problem for doubly-periodic bianalytic functions. By the decomposition of doubly-periodic polyanalytic functions, the problem is transformed into two equivalent and independent Riemann boundary-value problems of doubly-periodic analytic functions, which has been discussed according to growth order of functions at the origin by Jianke Lu. Finally, we obtain the explicit expression of solutions and the conditions of solvability for the doubly-periodic bianalytic functions.http://link.springer.com/article/10.1186/s13661-018-1005-zDoubly-periodic bianalytic functionRiemann boundary-value problemGrowth orderCanonical functionFreedom
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Huili Han Hua Liu Yufeng Wang
spellingShingle	Huili Han Hua Liu Yufeng Wang Riemann boundary-value problem for doubly-periodic bianalytic functions Boundary Value Problems Doubly-periodic bianalytic function Riemann boundary-value problem Growth order Canonical function Freedom
author_facet	Huili Han Hua Liu Yufeng Wang
author_sort	Huili Han
title	Riemann boundary-value problem for doubly-periodic bianalytic functions
title_short	Riemann boundary-value problem for doubly-periodic bianalytic functions
title_full	Riemann boundary-value problem for doubly-periodic bianalytic functions
title_fullStr	Riemann boundary-value problem for doubly-periodic bianalytic functions
title_full_unstemmed	Riemann boundary-value problem for doubly-periodic bianalytic functions
title_sort	riemann boundary-value problem for doubly-periodic bianalytic functions
publisher	SpringerOpen
series	Boundary Value Problems
issn	1687-2770
publishDate	2018-05-01
description	Abstract In this paper, we study Riemann boundary-value problem for doubly-periodic bianalytic functions. By the decomposition of doubly-periodic polyanalytic functions, the problem is transformed into two equivalent and independent Riemann boundary-value problems of doubly-periodic analytic functions, which has been discussed according to growth order of functions at the origin by Jianke Lu. Finally, we obtain the explicit expression of solutions and the conditions of solvability for the doubly-periodic bianalytic functions.
topic	Doubly-periodic bianalytic function Riemann boundary-value problem Growth order Canonical function Freedom
url	http://link.springer.com/article/10.1186/s13661-018-1005-z
work_keys_str_mv	AT huilihan riemannboundaryvalueproblemfordoublyperiodicbianalyticfunctions AT hualiu riemannboundaryvalueproblemfordoublyperiodicbianalyticfunctions AT yufengwang riemannboundaryvalueproblemfordoublyperiodicbianalyticfunctions
_version_	1725339333749112832

Riemann boundary-value problem for doubly-periodic bianalytic functions

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