Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity

Infinitely many explicit solutions of certain second-order differential equations with an apparent singularity of characteristic exponent −2 are constructed by adjusting the parameter of the multi-indexed Laguerre polynomials.

Bibliographic Details
Main Authors:	Ryu Sasaki, Kouichi Takemura
Format:	Article
Language:	English
Published:	National Academy of Science of Ukraine 2012-11-01
Series:	Symmetry, Integrability and Geometry: Methods and Applications
Subjects:	multi-indexed orthogonal polynomials solvable systems Fuchsian differential equations Heun's equation apparent singularities high characteristic exponents
Online Access:	http://dx.doi.org/10.3842/SIGMA.2012.085

id	doaj-6233a0b5f9ce494cb001bef0dbf1f0a0
record_format	Article
spelling	doaj-6233a0b5f9ce494cb001bef0dbf1f0a02020-11-25T00:53:06ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592012-11-018085Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent SingularityRyu SasakiKouichi TakemuraInfinitely many explicit solutions of certain second-order differential equations with an apparent singularity of characteristic exponent −2 are constructed by adjusting the parameter of the multi-indexed Laguerre polynomials.http://dx.doi.org/10.3842/SIGMA.2012.085multi-indexed orthogonal polynomialssolvable systemsFuchsian differential equationsHeun's equationapparent singularitieshigh characteristic exponents
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Ryu Sasaki Kouichi Takemura
spellingShingle	Ryu Sasaki Kouichi Takemura Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity Symmetry, Integrability and Geometry: Methods and Applications multi-indexed orthogonal polynomials solvable systems Fuchsian differential equations Heun's equation apparent singularities high characteristic exponents
author_facet	Ryu Sasaki Kouichi Takemura
author_sort	Ryu Sasaki
title	Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity
title_short	Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity
title_full	Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity
title_fullStr	Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity
title_full_unstemmed	Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity
title_sort	global solutions of certain second-order differential equations with a high degree of apparent singularity
publisher	National Academy of Science of Ukraine
series	Symmetry, Integrability and Geometry: Methods and Applications
issn	1815-0659
publishDate	2012-11-01
description	Infinitely many explicit solutions of certain second-order differential equations with an apparent singularity of characteristic exponent −2 are constructed by adjusting the parameter of the multi-indexed Laguerre polynomials.
topic	multi-indexed orthogonal polynomials solvable systems Fuchsian differential equations Heun's equation apparent singularities high characteristic exponents
url	http://dx.doi.org/10.3842/SIGMA.2012.085
work_keys_str_mv	AT ryusasaki globalsolutionsofcertainsecondorderdifferentialequationswithahighdegreeofapparentsingularity AT kouichitakemura globalsolutionsofcertainsecondorderdifferentialequationswithahighdegreeofapparentsingularity
_version_	1725239313462984704

Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity

Similar Items