✦ LIBER ✦

Laguerre-Freud equations for the recurrence coefficients of Dω semi-classical orthogonal polynomials of class one

✍ Scribed by M. Foupouagnigni; M.N. Hounkonnou; A. Ronveaux

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 482 KB
Volume: 99
Category: Article
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(98)00152-6

No coin nor oath required. For personal study only.

✦ Synopsis

The Laguerre-Freud equations giving the recurrence coefficients fl~, y,, of orthogonal polynomials with respect to a D,,, semi-classical linear form are derived. D,,~ is the difference operator. The limit when to --~ 0 are also investigated recovering known results. Applications to generalized Meixner polynomials of class one are also treated. (~) 1998 Elsevier Science B.V. All rights reserved.

📜 SIMILAR VOLUMES

Laguerre-Freud′s Equations for the Recur

Laguerre-Freud′s Equations for the Recurrence Coefficients of Semi-classical Orthogonal Polynomials

✍ S. Belmehdi; A. Ronveaux 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 477 KB

Toda-type differential equations for the

Toda-type differential equations for the recurrence coefficients of orthogonal polynomials and Freud transformation

✍ A.I. Aptekarev; A. Branquinho; F. Marcellán 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 853 KB

Transformations of the measure of orthogonality for orthogonal polynomials, namely Freud transformations, are considered. Jacobi matrix of the recurrence coefficients of orthogonal polynomials possesses an isospectral deformation under these transformations. Dynamics of the coefficients are describe