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Orthogonal polynomials associated to a certain fourth order differential equation

✍ Scribed by Joachim Hilgert; Toshiyuki Kobayashi; Gen Mano; Jan Möllers

Publisher
Springer US
Year
2011
Tongue
English
Weight
545 KB
Volume
26
Category
Article
ISSN
1382-4090

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📜 SIMILAR VOLUMES

Fourth-order difference equation for the
Fourth-order difference equation for the associated classical discrete orthogonal polynomials
✍ 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
Fourth order q-difference equation for the first associated of the q-classical orthogonal polynomials
✍ 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