Inequalities for the associated Legendre functions

DOI10.1006/jath.1998.3207zbMath0923.33002OpenAlexW2063575337MaRDI QIDQ1290120

Georg Lohöfer

Publication date: 10 June 1999

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

Full work available at URL: https://doi.org/10.1006/jath.1998.3207

zbMATH Keywords

inequalitiesassociated Legendre functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (14)

Backus problem in geophysics: a resolution near the dipole in fractional Sobolev spaces ⋮ Real-part estimates for solutions of the Riesz system in ℝ³ ⋮ Gravitational wave signal templates, pattern recognition, and reciprocal Eulerian gamma functions ⋮ On constants in some inequalities for intermediate derivatives on a finite interval ⋮ The Laplace equation in three dimensions by the method of fundamental solutions and the method of particular solutions ⋮ Bloch's theorem in the context of quaternion analysis ⋮ Fast SGL Fourier transforms for scattered data ⋮ Computation of the magnetic potential induced by a collection of spherical particles using series expansions ⋮ Semi-Fredholm solvability in the framework of singular solutions for the (3+1)-D Protter-Morawetz problem ⋮ Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation ⋮ On 3D orthogonal prolate spheroidal monogenics ⋮ Tight bounds on the mutual coherence of sensing matrices for Wigner d-functions on regular grids ⋮ Uniform pointwise estimates for ultraspherical polynomials ⋮ Bohr type theorems for monogenic power series

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Inequalities for Legendre functions and Gegenbauer functions
• Inequalities for ultraspherical polynomials and application to quadrature
• An inequality for Legendre polynomials
• Alternative Proof of a Sharpened Form of Bernstein's Inequality for Legendre Polynomials
• Analytic Inequalities
• Unitarity and High-Energy Behavior of Scattering Amplitudes

This page was built for publication: Inequalities for the associated Legendre functions