𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the fourth-order difference equation for the associated Meixner polynomials

✍ Scribed by Stanisław Lewanowicz


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
450 KB
Volume
80
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

✦ Synopsis


Three equivalent forms of the fourth-order difference equation obeyed by the associated Meixner polynomials (with a nonnegative real association parameter) are derived from a refinement of a recent result due to .


📜 SIMILAR VOLUMES


Fourth-order difference equation for the
✍ M. Foupouagnigni; W. Koepf; A. Ronveaux 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 237 KB

We derive the fourth-order difference equation satisfied by the associated order r of classical orthogonal polynomials of a discrete variable. The coefficients of this equation are given in terms of the polynomials a and z which appear in the discrete Pearson equation A(ap)= zp defining the weight

Fourth order q-difference equation for t
✍ M Foupouagnigni; A Ronveaux; W Koepf 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 262 KB

We derive the fourth-order q-difference equation satisfied by the first associated of the q-classical orthogonal polynomials. The coefficients of this equation are given in terms of the polynomials tr and z which appear in the q-Pearson difference equation Dq(tr p)= zp defining the weight p of the q

The Fourth-order Difference Equation Sat
✍ Mama Foupouagnigni; M.Norbert Hounkonnou; André Ronveaux 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 351 KB

Starting from the Dω-Riccati difference equation satisfied by the Stieltjes function of a linear functional, we work out an algorithm which enables us to write the general fourthorder difference equation satisfied by the associated of any integer order of orthogonal polynomials of the ∆-Laguerre-Hah