Shanta Laishram ; Saranya G. Nair ; T. N. Shorey
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On the Galois group of Generalised Laguerre polynomials II
hrj:6457 -
Hardy-Ramanujan Journal,
May 20, 2020,
Volume 42 - Special Commemorative volume in honour of Alan Baker - 2019
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https://doi.org/10.46298/hrj.2020.6457
On the Galois group of Generalised Laguerre polynomials IIArticle
Authors: Shanta Laishram 1; Saranya G. Nair ; T. N. Shorey
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Shanta Laishram;Saranya G. Nair;T. N. Shorey
1 Statistics and Mathematics Unit
For real number α, Generalised Laguerre Polynomials (GLP) is a family of polynomials defined byL(α)n(x)=(−1)nn∑j=0(n+αn−j)(−x)jj!.
These orthogonal polynomials are extensively studied in Numerical Analysis and Mathematical Physics. In 1926, Schur initiated the study of algebraic properties of these polynomials. We consider the Galois group of Generalised Laguerre Polynomials L(12+u)n(x) when u is a negative integer.