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A large family of symmetric Laguerre–Hahn polynomials of class two

✍ Scribed by Sghaier, M.; Zaatra, M.

Book ID
121327008
Publisher
Taylor and Francis Group
Year
2011
Tongue
English
Weight
141 KB
Volume
22
Category
Article
ISSN
1065-2469

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📜 SIMILAR VOLUMES

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✍ Elizabeth A Sell 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 261 KB

Following the work of Schur and Coleman, we prove the generalized Laguerre polynomial x j is irreducible over the rationals for all nX1 and has Galois group A n if n þ 1 is an odd square, and S n otherwise. We also show that for certain negative integer values of a and certain congruence classes of

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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