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
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
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
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