Can I read A simplification of Laplace’s method: Applications to the Gamma function and Gauss hypergeometric function on EtoBox?
A simplification of Laplace’s method: Applications to the Gamma function and Gauss hypergeometric function by José L. López; Pedro Pagola; E. Pérez Sinusía is a Mathematics article available to read on EtoBox.
What is A simplification of Laplace’s method: Applications to the Gamma function and Gauss hypergeometric function about?
The main difficulties in the Laplace's method of asymptotic expansions of integrals are originated by a change of variables. We propose a variant of the method which avoids that change of variables and simplifies the computations. On the one hand, the calculation of the coefficients of the asymptotic expansion is remarkably simpler. On the other hand, the asymptotic sequence is as simple as in the standard Laplace's method: inverse powers of the asymptotic variable. New asymptotic expansions of the Gamma function Γ (z) for large z and the Gauss hypergeometric function 2 F 1 (a, b, c; z) for large b and c are given as illustrations. An explicit formula for the coefficients of the classical Stirling expansion of Γ (z) is also given.
Who reads A simplification of Laplace’s method: Applications to the Gamma function and Gauss hypergeometric function?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- José L. López; Pedro Pagola; E. Pérez Sinusía
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0021-9045)
- Published
- 2009
- Language
- EN
- Field
- Mathematics (Physical Sciences)