4 papers
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}{…
Extension of Laguerre polynomials with negative arguments
T. N. Shorey, Sneh Bala Sinha
We consider the irreducibility of polynomial where is a negative integer. We observe that the constant term of vanishes if and only if $n \geq…
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…