Simplified Expressions of the Multi-Indexed Laguerre and Jacobi Polynomials

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13
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dc.contributor.author	Odake, S.
dc.contributor.author	Sasaki, R.
dc.date.accessioned	2019-02-18T16:12:55Z
dc.date.available	2019-02-18T16:12:55Z
dc.date.issued	2017
dc.identifier.citation	Simplified Expressions of the Multi-Indexed Laguerre and Jacobi Polynomials / S. Odake, R. Sasaki // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 24 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 42C05; 33C45; 34A05
dc.identifier.other	DOI:10.3842/SIGMA.2017.020
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/148580
dc.description.abstract	The multi-indexed Laguerre and Jacobi polynomials form a complete set of orthogonal polynomials. They satisfy second-order differential equations but not three term recurrence relations, because of the 'holes' in their degrees. The multi-indexed Laguerre and Jacobi polynomials have Wronskian expressions originating from multiple Darboux transformations. For the ease of applications, two different forms of simplified expressions of the multi-indexed Laguerre and Jacobi polynomials are derived based on various identities. The parity transformation property of the multi-indexed Jacobi polynomials is derived based on that of the Jacobi polynomial.	uk_UA
dc.description.sponsorship	S.O. is supported in part by Grant-in-Aid for Scientific Research from the Ministry of Education, Culture, Sports, Science and Technology (MEXT), No. 25400395.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Simplified Expressions of the Multi-Indexed Laguerre and Jacobi Polynomials	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA