A property of the zeros of the Legendre polynomials

DOI10.1016/0021-9045(87)90068-2zbMath0658.42025OpenAlexW1998713743MaRDI QIDQ1111106

C. C. Grosjean

Publication date: 1987

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(87)90068-2

zbMATH Keywords

Sturm's comparison theoremLegendre polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Spherical harmonics (33C55)

Related Items (3)

Additional monotonicity results for the zeros of Bessel functions ⋮ Global Sturm inequalities for the real zeros of the solutions of the Gauss hypergeometric differential equation ⋮ New inequalities from classical Sturm theorems

Cites Work

• Unnamed Item
• Higher monotonicity properties of certain Sturm-Liouville functions
• On the Spacing of the Zeros of Some Classical Orthogonal Polynomials
• Higher Monotonicity Properties of Certain Sturm-Liouville Functions. III
• Higher Monotonicity Properties of Certain Sturm-Liouville Functions. IV

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