Evaluation of associated Legendre functions off the cut and parabolic cylinder functions

zbMath0961.65017MaRDI QIDQ1572620

Javier Segura, Amparo Gil

Publication date: 24 July 2000

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/120953

zbMATH Keywords

algorithmsnumerical examplesLegendre functionscomputation of special functionstoroidal harmonicsparabolic cylinder functionsforward and backward recursion schemesoblate spheroidal harmonicsprolate spheroidal harmonicsthree-term recursion relations

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Computation of special functions and constants, construction of tables (65D20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Classical hypergeometric functions, ({}_2F_1) (33C05) Spherical harmonics (33C55) Software, source code, etc. for problems pertaining to special functions (33-04)

Related Items (5)

The ABC of hyper recursions ⋮ Parabolic cylinder functions of integer and half-integer orders for nonnegative arguments ⋮ Recursive computation of logarithmic derivatives, ratios, and products of spheroidal harmonics and modified Bessel functions and applications ⋮ Solutions in the discrete fractional forms of two differential equations with singular points ⋮ Solutions in the discrete fractional forms of two differential equations with singular points

Uses Software

• Algorithm 644

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