Large-Parameter Asymptotic Expansions for the Legendre and Allied Functions
DOI10.1137/19M1262498zbMath1434.41027arXiv1905.07204OpenAlexW3004003708MaRDI QIDQ5213174
Adri B. Olde Daalhuis, Gergล Nemes
Publication date: 31 January 2020
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.07204
error boundsasymptotic expansionsLegendre functionshypergeometric functionFerrers functionsGegenbauer function
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Classical hypergeometric functions, ({}_2F_1) (33C05)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fundamental solutions and Gegenbauer expansions of Helmholtz operators in Riemannian spaces of constant curvature
- Effective Borel-resummation by factorial series
- Error bounds for the large-argument asymptotic expansions of the Hankel and Bessel functions
- RESURGENCE IN DIFFERENCE EQUATIONS, WITH AN APPLICATION TO LEGENDRE FUNCTIONS
- Uniform asymptotic expansions for hypergeometric functions with large parameters IV
- Generalized Heineโs identity for complex Fourier series of binomials
- The asymptotic expansion of legendre function of large degree and order
- Integrals with a large parameter: Legendre functions of large degree and fixed order
- Error bounds for a uniform asymptotic expansion of the Legendre function ๐_{๐}^{-๐}(๐๐๐ โ๐ง)
- Legendre functions with both parameters large
- Error Bounds for a Uniform Asymptotic Expansion of the Legendre Function $Q_n^{ - m} (\cosh z)$
- Uniform asymptotic expansions for associated Legendre functions of large order
- INVERSE FACTORIAL-SERIES SOLUTIONS OF DIFFERENCE EQUATIONS
This page was built for publication: Large-Parameter Asymptotic Expansions for the Legendre and Allied Functions
