HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information

# On the Galois group of Generalised Laguerre polynomials II

Abstract : For real number $\alpha,$ Generalised Laguerre Polynomials (GLP) is a family of polynomials defined by $L_n^{(\alpha)}(x)=(-1)^n\displaystyle\sum_{j=0}^{n}\binom{n+\alpha}{n-j}\frac{(-x)^j}{j!}.$ 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 $L_n^{(\frac{1}{2}+u)}(x)$ when $u$ is a negative integer.
Document type :
Journal articles
Domain :

Cited literature [12 references]

https://hal.archives-ouvertes.fr/hal-02554227
Contributor : Srinivas Kotyada Connect in order to contact the contributor
Submitted on : Friday, May 1, 2020 - 10:14:54 AM
Last modification on : Monday, March 28, 2022 - 8:14:08 AM

### File

42Article2.pdf
Publisher files allowed on an open archive

### Citation

Shanta Laishram, Saranya G. Nair, T. N. Shorey. On the Galois group of Generalised Laguerre polynomials II. Hardy-Ramanujan Journal, Hardy-Ramanujan Society, 2020, Volume 42 - Special Commemorative volume in honour of Alan Baker - 2019, pp.26 - 30. ⟨10.46298/hrj.2020.6457⟩. ⟨hal-02554227⟩

Record views