A simplification of Laplace’s method: Applications to the Gamma function and Gauss hypergeometric function
نویسندگان
چکیده
منابع مشابه
A simplification of Laplace's method: Applications to the Gamma function and Gauss hypergeometric function
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 ...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2009
ISSN: 0021-9045
DOI: 10.1016/j.jat.2008.09.004