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Irreducibility of Laguerre Polynomial L-n((-1-n-r)) (x)

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Title Irreducibility of Laguerre Polynomial L-n((-1-n-r)) (x)
 
Creator NAIR, SG
SHOREY, TN
 
Subject FAMILY
Galois group
Irreducibility
Laguerre Polynomials
Primes
 
Description We consider the algebraic properties of Generalized Laguerre Polynomials for negative integral values given by L-n((-1-n-r)) (x) = Sigma(n)(j=0) ((n-j+r)(n-j)) x(j)/j!. For different values of r, this family gives polynomials which of great interest. Improving on the earlier results of Hajir and Sell, we prove that L-n((-1-n-r)) is irreducible and compute its Galois group for r r/1.63e(1.00008r). (C) 2015 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
 
Publisher ELSEVIER SCIENCE BV
 
Date 2016-01-14T14:05:58Z
2016-01-14T14:05:58Z
2015
 
Type Article
 
Identifier INDAGATIONES MATHEMATICAE-NEW SERIES, 26(4)615-625
0019-3577
1872-6100
http://dx.doi.org/10.1016/j.indag.2015.04.002
http://dspace.library.iitb.ac.in/jspui/handle/100/17684
 
Language en