Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900344 | Journal of Mathematical Analysis and Applications | 2018 | 13 Pages |
Abstract
Consider an abstract operator L which acts on monomials xn according to Lxn=λnxn+νnxnâ2 for λn and νn some coefficients. Let Pn(x) be eigenpolynomials of degree n of L: LPn(x)=λnPn(x). A classification of all the cases for which the polynomials Pn(x) are orthogonal is provided. A general derivation of the algebras explaining the bispectrality of the polynomials is given. The resulting algebras prove to be central extensions of the Askey-Wilson algebra and its degenerate cases.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Satoshi Tsujimoto, Luc Vinet, Guo-Fu Yu, Alexei Zhedanov,