q-Laguerre polynomials and big q-Bessel functions and their orthogonality relations
| dc.creator | Ciccoli, Nicola | |
| dc.creator | Koelink, Erik | |
| dc.creator | Koornwinder, Tom H. | |
| dc.date | 1998-05-06 | |
| dc.date.accessioned | 2026-07-07T05:24:42Z | |
| dc.date.available | 2026-07-07T05:24:42Z | |
| dc.description | The q-Laguerre polynomials correspond to an indetermined moment problem. For explicit discrete non-N-extremal measures corresponding to Ramanujan's ${}_1ψ_1$-summation we complement the orthogonal q-Laguerre polynomials into an explicit orthogonal basis for the corresponding L^2-space. The dual orthogonal system consists of so-called big q-Bessel functions, which can be obtained as a rigorous limit of the orthogonal system of big q-Jacobi polynomials. Interpretations on the SU(1,1) and E(2) quantum groups are discussed. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/9805023 | |
| dc.identifier | http://arxiv.org/abs/math/9805023 | |
| dc.identifier | Methods Appl. Anal. 6 (1999), 109-127 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76900 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Quantum Algebra | |
| dc.subject | 33D45, 33D80 | |
| dc.title | q-Laguerre polynomials and big q-Bessel functions and their orthogonality relations | |
| dc.type | text |