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A generalization of the classical Laguerre polynomials

✍ Scribed by R. Álvarez-Nodarse; F. Marcellán

Book ID
112911732
Publisher
Springer Milan
Year
1995
Tongue
Italian
Weight
469 KB
Volume
44
Category
Article
ISSN
0009-725X

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📜 SIMILAR VOLUMES

A Generalization of Laguerre Polynomials
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✍ Koekoek, R.; Meijer, H. G. 📂 Article 📅 1993 🏛 Society for Industrial and Applied Mathematics 🌐 English ⚖ 927 KB
On a certain family of generalized Lague
On a certain family of generalized Laguerre polynomials
✍ 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