4 papers
Irreducibility of Generalised Laguerre Polynomials for Large Integer Parameters
Drishya T. Das, Saheli Dutta, Shanta Laishram +1
For a positive integer , we study the irreducibility of the generalised Laguerre polynomials \[ L_n^{(a)}(x) = \frac{1}{n!}\sum_{j=0}^{n} \binom{n}{j} \frac{(n+a)!}{(j+a)!}(-1)^…
Extension of Irreducibility results on Generalised Laguerre Polynomials
Saranya G Nair, Tarlok Nath Shorey
We consider the irreducibility of Generalised Laguerre Polynomials for negative integral values given by $L_n^{(-1-n-s)}(x)=\displaystyle\sum_{j=0}^{n}\binom{n-j+s}{n-j}\frac{x^j}{…
Irreducibility of extensions of Laguerre Polynomials
Shanta Laishram, Saranya G. Nair, Tarlok Nath Shorey
For integers with and either with or with , we prove that $ψ_n^{(α)}(x;a_0,a_1,\cdots…
On the Galois group of Generalised Laguerre polynomials II
Shanta Laishram, Saranya G. Nair, Tarlok Nath Shorey
For real number Generalised Laguerre Polynomials (GLP) is a family of polynomials defined by \begin{align*} L_n^{(α)}(x)=(-1)^n\displaystyle\sum_{j=0}^{n}\binom{n+α}{n-j}\frac…