Computation of Jacobi functions of the second kind for use in nearside-farside scattering theory

DOI10.1016/S0377-0427(97)00083-6zbMath0887.65019MaRDI QIDQ1372079

J. Ning

Publication date: 25 May 1998

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

numerical examplesgenerating functionrecurrence relationJacobi functions of the second kindangular scatteringatom-atom collision systemsnearside-farside decompositionpartial wave series

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Roundoff error (65G50) Computation of special functions and constants, construction of tables (65D20) (n)-body potential quantum scattering theory (81U10) Collision of rigid or pseudo-rigid bodies (70F35)

Uses Software

• Mathematica

Cites Work

• Product Formulas and Nicholson-Type Integrals for Jacobi Functions. I: Summary of Results
• A Bernstein-Type Inequality for the Jacobi Polynomial
• Uniform Asymptotic Expansions of the Jacobi Polynomials and an Associated Function
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