Orthogonality of Jacobi and Laguerre polynomials for general parameters via the Hadamard finite part
| dc.creator | Costin, Rodica D. | |
| dc.date | 2009-01-19 | |
| dc.date.accessioned | 2026-07-07T12:32:05Z | |
| dc.date.available | 2026-07-07T12:32:05Z | |
| dc.description | Orthogonality of the Jacobi and of Laguerre polynomials, P_n^(a,b) and L_n^(a), is established for a,b complex (a,b not negative integers and a+b different from -2,-3,...) using the Hadamard finite part of the integral which gives their orthogonality in the classical cases. Riemann-Hilbert problems that these polynomials satisfy are found. The results are formally similar to the ones in the classical case (when the real parts of a,b are greater than -1) | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/0901.2940 | |
| dc.identifier | http://arxiv.org/abs/0901.2940 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/216664 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 05E35 | |
| dc.title | Orthogonality of Jacobi and Laguerre polynomials for general parameters via the Hadamard finite part | |
| dc.type | text |