Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4672801 | Indagationes Mathematicae | 2015 | 11 Pages |
Abstract
We consider the algebraic properties of Generalized Laguerre Polynomials for negative integral values given by Ln(â1ânâr)(x)=âj=0n(nâj+rnâj)xjj!. For different values of r, this family gives polynomials which are of great interest. Improving on the earlier results of Hajir and Sell, we prove that Ln(â1ânâr) is irreducible and compute its Galois group for râ¤22. Also we prove that Ln(â1ânâr) is irreducible and its Galois group contains An whenever n>r1.63e1.00008r.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Saranya G. Nair, T.N. Shorey,