{"docId":6457,"paperId":6457,"url":"https:\/\/hrj.episciences.org\/6457","doi":"10.46298\/hrj.2020.6457","journalName":"Hardy-Ramanujan Journal","issn":"","eissn":"2804-7370","volume":[{"vid":404,"name":"Volume 42 - Special Commemorative volume in honour of Alan Baker - 2019"}],"section":[],"repositoryName":"Hal","repositoryIdentifier":"hal-02554227","repositoryVersion":1,"repositoryLink":"https:\/\/hal.archives-ouvertes.fr\/hal-02554227v1","dateSubmitted":"2020-05-07 12:31:13","dateAccepted":"2020-05-19 20:47:41","datePublished":"2020-05-20 21:40:43","titles":{"en":"On the Galois group of Generalised Laguerre polynomials II"},"authors":["Laishram, Shanta","G. Nair, Saranya","Shorey, T. N."],"abstracts":{"en":"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."},"keywords":["[MATH]Mathematics [math]","[MATH.MATH-NT]Mathematics [math]\/Number Theory [math.NT]"]}