The discrete analogue of Laplace's method

DOI10.1016/j.camwa.2011.03.092zbMath1222.41043OpenAlexW2082165259MaRDI QIDQ640500

Richard B. Paris

Publication date: 18 October 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://rke.abertay.ac.uk/en/publications/d3357c0e-b907-4917-b384-077441539ad9

zbMATH Keywords

asymptotic expansionsumsLaplace's method

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Generalized hypergeometric series, ({}_pF_q) (33C20) Numerical summation of series (65B10)

Related Items (3)

On a generalized three-parameter Wright function of Le Roy type ⋮ Asymptotics of some generalized Mathieu series ⋮ On the number of words with restrictions on the number of symbols

Cites Work

• Exponentially small expansions in the asymptotics of the Wright function
• The special functions and their approximations. Vol. I, II
• Combinatorial Applications of Hermite Polynomials
• The Local Growth of Power Series: A Survey of the Wiman-Valiron Method
• The Asymptotic Expansion of the Generalized Hypergeometric Function
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