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
✦ LIBER ✦
Fourth-order difference equation for the associated Meixner and Charlier polynomials
✍ Scribed by Jean Letessier; André Ronveaux; Galliano Valent
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 428 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
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In this paper, the rule for the lengths of positive and negative semicycles of nontrivial solutions of the following fourth-order rational difference equation, where a,b E [0, oo) and the initial values x-3,z-2, x-l,~c0 E (0, co), to successively occur is found to be...,4 +,3-, 1 +, 2-,2 +, 1-, 1 +