10 citations · 28 across the 8 of their papers we have counts for
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Extensions of Schur's irreducibility results
Shanta Laishram, T. N. Shorey
We prove that the generalised Laguerre polynomials with $0\le \al\le 50$ are irreducible except for finitely many pairs $(n, \al)$ and that these exceptions are ne…
Irreducibility of generalized Hermite-Laguerre polynomials
Shanta Laishram, T. N. Shorey
For a rational with $u, α, d\in \ACOBZ$ with , , the \emph{generalized Hermite-Laguerre polynomials } are defined by \begin{…
Irreducibility of generalized Hermite-Laguerre Polynomials II
Shanta Laishram, T. N. Shorey
In this paper, we show that for each , the generalised Hermite-Laguerre Polynomials and are either irreducible or linear polynomial tim…
Irreducibility of generalized Hermite-Laguerre Polynomials III
Shanta Laishram, Tarlok Shorey
For a positive integer and a real number , the generalized Laguerre polynomials are defined by \begin{align*} L^{(α)}_n(x)=\sum^n_{j=0}\frac{(n+α)(n-1+α)\cdots (j+1+α)(-x)^j…