Separation of Variables and Contractions on Two-Dimensional Hyperboloid

In this paper analytic contractions have been established in the R→∞ contraction limit for exactly solvable basis functions of the Helmholtz equation on the two-dimensional two-sheeted hyperboloid. As a consequence we present some new asymptotic formulae.

Bibliographic Details
Main Authors:	Ernie Kalnins, George S. Pogosyan, Alexander Yakhno
Format:	Article
Language:	English
Published:	National Academy of Science of Ukraine 2012-12-01
Series:	Symmetry, Integrability and Geometry: Methods and Applications
Subjects:	analytic contraction separation of variables Lie group Helmholtz equation
Online Access:	http://dx.doi.org/10.3842/SIGMA.2012.105

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spelling	doaj-5723f547d32e45518240e03a3ed7feeb2020-11-24T22:20:57ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592012-12-018105Separation of Variables and Contractions on Two-Dimensional HyperboloidErnie KalninsGeorge S. PogosyanAlexander YakhnoIn this paper analytic contractions have been established in the R→∞ contraction limit for exactly solvable basis functions of the Helmholtz equation on the two-dimensional two-sheeted hyperboloid. As a consequence we present some new asymptotic formulae.http://dx.doi.org/10.3842/SIGMA.2012.105analytic contractionseparation of variablesLie groupHelmholtz equation
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Ernie Kalnins George S. Pogosyan Alexander Yakhno
spellingShingle	Ernie Kalnins George S. Pogosyan Alexander Yakhno Separation of Variables and Contractions on Two-Dimensional Hyperboloid Symmetry, Integrability and Geometry: Methods and Applications analytic contraction separation of variables Lie group Helmholtz equation
author_facet	Ernie Kalnins George S. Pogosyan Alexander Yakhno
author_sort	Ernie Kalnins
title	Separation of Variables and Contractions on Two-Dimensional Hyperboloid
title_short	Separation of Variables and Contractions on Two-Dimensional Hyperboloid
title_full	Separation of Variables and Contractions on Two-Dimensional Hyperboloid
title_fullStr	Separation of Variables and Contractions on Two-Dimensional Hyperboloid
title_full_unstemmed	Separation of Variables and Contractions on Two-Dimensional Hyperboloid
title_sort	separation of variables and contractions on two-dimensional hyperboloid
publisher	National Academy of Science of Ukraine
series	Symmetry, Integrability and Geometry: Methods and Applications
issn	1815-0659
publishDate	2012-12-01
description	In this paper analytic contractions have been established in the R→∞ contraction limit for exactly solvable basis functions of the Helmholtz equation on the two-dimensional two-sheeted hyperboloid. As a consequence we present some new asymptotic formulae.
topic	analytic contraction separation of variables Lie group Helmholtz equation
url	http://dx.doi.org/10.3842/SIGMA.2012.105
work_keys_str_mv	AT erniekalnins separationofvariablesandcontractionsontwodimensionalhyperboloid AT georgespogosyan separationofvariablesandcontractionsontwodimensionalhyperboloid AT alexanderyakhno separationofvariablesandcontractionsontwodimensionalhyperboloid
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Separation of Variables and Contractions on Two-Dimensional Hyperboloid

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