Associated Legendre functions on the cut

DOI10.1016/0021-9991(83)90166-3zbMath0523.65016OpenAlexW2001063918MaRDI QIDQ1056520

J. Blot

Publication date: 1983

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(83)90166-3

zbMATH Keywords

algorithmsLegendre functionsrecurrence relationsLegendre polynomialcodepower-series expansionsextended-range arithmetic

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Spherical harmonics (33C55) Software, source code, etc. for problems pertaining to special functions (33-04)

Related Items

An algorithm for the numerical evaluation of the associated Legendre functions that runs in time independent of degree and order ⋮ Evaluation of the spherical Bessel transform of a Whittaker function: An application of a difference equation method ⋮ Ultra-high degree spherical harmonic analysis and synthesis using extended-range arithmetic ⋮ A new \texttt{Fortran 90} program to compute regular and irregular associated Legendre functions ⋮ Computing toroidal functions for wide ranges of the parameters ⋮ Evaluation of Legendre functions of argument greater than one ⋮ Computation of spherical harmonic expansion coefficients via FFT's

Uses Software

• Algorithm 567

Cites Work

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• Algorithm 567
• The asymptotic expansion of legendre function of large degree and order
• Extended-Range Arithmetic and Normalized Legendre Polynomials
• Legendre functions with both parameters large
• A New Method for Computing Toroidal Harmonics
• Chebyshev Approximations for the Psi Function