Some monotonicity results on the zeros of the generalized Laguerre polynomials

Author:

Natalini Pierpaolo,Palumbo Biagio

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference20 articles.

1. Properties of the zeros of the classical polynomials and of the Bessel functions;Ahmed;Nuovo Cimento,1979

2. Inequalities and numerical bounds for zeros of ultraspherical polynomials;Ahmed;SIAM J. Math. Anal.,1986

3. Asymptotic behaviour of the zeros of the (generalized) Laguerre polynomials Ln(α)(x) as the index α → ∞ and limiting formula relating Laguerre polynomials of large index and large argument to Hermite polynomials;Calogero;Nuovo Cimento,1978

4. Asymptotic behaviour of the zeros of the Jacobi polynomials Pn(at,bt)(x) as t → ∞ and limiting relations of these polynomials with Hermite polynomials;Calogero;Nuovo Cimento,1978

5. F. Calogero, Integrable many-body problems, in: A.O. Barut (Ed.), Nonlinear Equations in Physics and Mathematics, Proceedings of an Advanced Study Institute, Istanbul, 1977, Reidel, Dordrecht, 1978, pp. 3–53.

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1. A Survey on Markov’s Theorem on Zeros of Orthogonal Polynomials;Springer Optimization and Its Applications;2020-09-30

2. On Markov’s theorem on zeros of orthogonal polynomials revisited;Applied Mathematics and Computation;2018-12

3. Monotonicity of zeros of Laguerre polynomials;Journal of Computational and Applied Mathematics;2009-12

4. Monotonicity of zeros of Jacobi polynomials;Journal of Approximation Theory;2007-11

5. Differential inequalities of functions involving the lowest zero of some associated orthogonalq-polynomials;Integral Transforms and Special Functions;2005-06

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