Differential equation for Jacobi-Pineiro polynomials
| dc.creator | Mukhin, E. | |
| dc.creator | Varchenko, A. | |
| dc.date | 2005-11-05 | |
| dc.date | 2007-04-22 | |
| dc.date.accessioned | 2026-07-07T07:57:31Z | |
| dc.date.available | 2026-07-07T07:57:31Z | |
| dc.description | For $r\in \Z_{\geq 0}$, we present a linear differential operator %$(\di)^{r+1}+ a_1(x)(\di)^{r}+...+a_{r+1}(x)$ of order $r+1$ with rational coefficients and depending on parameters. This operator annihilates the $r$-multiple Jacobi-Piñeiro polynomial. For integer values of parameters satisfying suitable inequalities, it is the unique Fuchsian operator with kernel consisting of polynomials only and having three singular points at $x=0, 1, \infty$ with arbitrary non-negative integer exponents $0, m_1+1, >..., m_1+...+m_r+r$ at $x=0$, special exponents $0, k+1, k+2,..., k+r$ at $x=1$ and arbitrary exponents at $x=\infty$. | |
| dc.description | Latex, 9 pages, revised version, misprints are corrected | |
| dc.identifier | https://arxiv.org/abs/math/0511138 | |
| dc.identifier | http://arxiv.org/abs/math/0511138 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127674 | |
| dc.subject | Quantum Algebra | |
| dc.title | Differential equation for Jacobi-Pineiro polynomials | |
| dc.type | text |