On the Spacing of the Zeros of Some Classical Orthogonal Polynomials
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Publication:3961130
DOI10.1112/jlms/s2-25.2.246zbMath0496.33006OpenAlexW2073092644MaRDI QIDQ3961130
Shafique Ahmed, Martin E. Muldoon, Andrea Laforgia
Publication date: 1982
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/jlms/s2-25.2.246
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Linear ordinary differential equations and systems (34A30)
Related Items (13)
Additional monotonicity results for the zeros of Bessel functions ⋮ Some monotonicity properties of the zeros of ultraspherical polynomials ⋮ Monotonicity results on the zeros of generalized Laguerre polynomials ⋮ A property of the zeros of the Legendre polynomials ⋮ An inequality for Legendre polynomials ⋮ On the spacings between the successive zeros of the Laguerre polynomials ⋮ A Monotonic Property for the Zeros of Ultraspherical Polynomials ⋮ Solutions of convex Bethe ansatz equations and the zeros of (basic) hypergeometric orthogonal polynomials ⋮ Inequalities for zeros of Jacobi polynomials via Sturm's theorem: Gautschi's conjectures ⋮ Zeros of a family of hypergeometric para‐orthogonal polynomials on the unit circle ⋮ New inequalities from classical Sturm theorems ⋮ On the Hellmann-Feynman theorem and the variation of zeros of certain special functions ⋮ Convexity of the zeros of some orthogonal polynomials and related functions
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