A Bochner Theorem for Dunkl Polynomials

dc.contributor.author	Vinet, L.
dc.contributor.author	Zhedanov, A.
dc.date.accessioned	2019-02-11T15:24:30Z
dc.date.available	2019-02-11T15:24:30Z
dc.date.issued	2011
dc.identifier.citation	A Bochner Theorem for Dunkl Polynomials / L. Vinet, A. Zhedanov // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 16 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 33C45; 33C47; 42C05
dc.identifier.other	DOI:10.3842/SIGMA.2011.020
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146799
dc.description.abstract	We establish an analogue of the Bochner theorem for first order operators of Dunkl type, that is we classify all such operators having polynomial solutions. Under natural conditions it is seen that the only families of orthogonal polynomials in this category are limits of little and big q-Jacobi polynomials as q=−1.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue “Symmetry, Separation, Super-integrability and Special Functions (S4)”. The full collection is available at http://www.emis.de/journals/SIGMA/S4.html.	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	A Bochner Theorem for Dunkl Polynomials	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA