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A Generalization of Laguerre Polynomials

✍ Scribed by Koekoek, R.; Meijer, H. G.

Book ID
118199979
Publisher
Society for Industrial and Applied Mathematics
Year
1993
Tongue
English
Weight
927 KB
Volume
24
Category
Article
ISSN
0036-1410

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πŸ“œ SIMILAR VOLUMES

On a certain family of generalized Lague
On a certain family of generalized Laguerre polynomials
✍ Elizabeth A Sell πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 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 ΓΎ 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

Laguerre polynomials: novel properties a
Laguerre polynomials: novel properties and numerical generation scheme for analysis of a discrete probability distribution
✍ Carlos U. Pabon-Ortiz; M. Artoni πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 447 KB

We compute a quantum mechanical probability distribution expressed as a series of generalized Laguerre polynomials. A method for the numerical generation of the polynomials of any integer order is given. Two new properties of these polynomials are derived to reduce the distribution to a closed form