Saranya G. Nair

collaborators

3 papers

math.NT2022

Extension of Irreducibility results on Generalised Laguerre Polynomials $L_{n}^{(- 1 - n - s)} (x)$

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}{…

math.NT2019

Irreducibility of extensions of Laguerre Polynomials

Shanta Laishram, Saranya G. Nair, Tarlok Nath Shorey

For integers $a_{0}, a_{1}, \dots, a_{n}$ with $∣ a_{0} a_{n} ∣ = 1$ and either $α = u$ with $1 \leq u \leq 50$ or $α = u + \frac{1}{2}$ with $1 \leq u \leq 45$ , we prove that $ψ_n^{(α)}(x;a_0,a_1,\cdots…

math.NT2019

On the Galois group of Generalised Laguerre polynomials II

Shanta Laishram, Saranya G. Nair, Tarlok Nath Shorey

For real number $α,$ 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…

Extension of Irreducibility results on Generalised Laguerre Polynomials Ln(−1−n−s)​(x)

Irreducibility of extensions of Laguerre Polynomials

On the Galois group of Generalised Laguerre polynomials II

Extension of Irreducibility results on Generalised Laguerre Polynomials $L_{n}^{(- 1 - n - s)} (x)$