Polynomials Associated with Dihedral Groups

dc.contributor.author	Dunkl, C.F.
dc.date.accessioned	2019-02-16T08:35:28Z
dc.date.available	2019-02-16T08:35:28Z
dc.date.issued	2007
dc.identifier.citation	Polynomials Associated with Dihedral Groups / C.F. Dunkl // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 10 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 33C45; 33C80; 20F55
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147808
dc.description.abstract	There is a commutative algebra of differential-difference operators, with two parameters, associated to any dihedral group with an even number of reflections. The intertwining operator relates this algebra to the algebra of partial derivatives. This paper presents an explicit form of the action of the intertwining operator on polynomials by use of harmonic and Jacobi polynomials. The last section of the paper deals with parameter values for which the formulae have singularities.	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	Polynomials Associated with Dihedral Groups	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA