The integral formulas of the associated Legendre functions

DOI10.1007/S00190-011-0529-0zbMath1351.44005OpenAlexW2058552140MaRDI QIDQ727446

Yanyan Zeng, Jinhai Yu, Xiaoyun Wan

Publication date: 6 December 2016

Published in: Journal of Geodesy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00190-011-0529-0

zbMATH Keywords

integral formulaLegendre functionrecursion method

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Applications of hypergeometric functions (33C90)

Uses Software

• Algorithm 888

Cites Work

• Ultra-high degree spherical harmonic analysis and synthesis using extended-range arithmetic
• A unified approach the the Clenshaw summation and the recursive computation of very high degree and order normalised associated Legendre functions
• On the computation and approximation of ultra-high-degree spherical harmonic series
• Unnamed Item
• Unnamed Item

This page was built for publication: The integral formulas of the associated Legendre functions