Uniform asymptotic expansion of Legendre functions

DOI10.1063/5.0016206zbMath1454.33008OpenAlexW3049658022MaRDI QIDQ5141023

Alexander S. Silbergleit, Leonid Bakaleinikov

Publication date: 17 December 2020

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

Full work available at URL: https://doi.org/10.1063/5.0016206

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fundamental solutions and Gegenbauer expansions of Helmholtz operators in Riemannian spaces of constant curvature
• Calculation of transition probabilities in quantum mechanics with a nonnegative distribution function in the Maple computer algebra system
• The asymptotic expansion of legendre function of large degree and order
• Asymptotic Bessel-function expansions for Legendre and Jacobi functions

This page was built for publication: Uniform asymptotic expansion of Legendre functions