Some properties of Legendre functions and related applications

DOI10.4171/ZAA/999zbMath0973.33005OpenAlexW1999117051MaRDI QIDQ5938146

Chie-Ping Chu

Publication date: 18 July 2001

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48965

zbMATH Keywords

monotonicityLegendre functionsestimates of eigenvalues

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Growth and boundedness of solutions to ordinary differential equations (34C11) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Cites Work

• Symmetry and related properties via the maximum principle
• A note on Hayman's theorem on the bass note of a drum
• Some Properties of the First Eigenvalue of the Laplace Operator on the Spherical Bands in $S^2 $
• Table of the zeros of the Legendre polynomials of order 1-16 and the weight coefficients for Gauss’ mechanical quadrature formula
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