An explicit formula for the coefficients in Laplace's method
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Publication:387540
DOI10.1007/s00365-013-9202-6zbMath1292.41012arXiv1207.5222OpenAlexW2069212578MaRDI QIDQ387540
Publication date: 23 December 2013
Published in: Constructive Approximation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1207.5222
Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)
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- Asymptotic expansion for \(\log n!\) in terms of the reciprocal of a triangular number
- An explicit formula for the coefficients of the saddle point method
- The asymptotic expansion for \(n!\) and the Lagrange inversion formula
- A simplification of Laplace's method: applications to the gamma function and Gauss hypergeometric function
- On the high-order coefficients in the uniform asymptotic expansion for the incomplete gamma function
- Asymptotic expansions and positivity of coefficients for large powers of analytic functions
- On the coefficients that arise from Laplace's method
- Explicit Series Formulae for the Evaluation of Integrals by the Method of Steepest Descents
- Uniform Asymptotic Expansions of the Incomplete Gamma Functions and the Incomplete Beta Function
- The Asymptotic Expansion of the Incomplete Gamma Functions
- Computing the Coefficients in Laplace's Method
- Error Bounds for Stationary Phase Approximations
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