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math.CA2012★ 35 cited
An explicit formula for the coefficients in Laplace's method
Gergő Nemes
Laplace's method is one of the fundamental techniques in the asymptotic approximation of integrals. The coefficients appearing in the resulting asymptotic expansion, arise as the c…
math.CA2012
A solution to an open problem on the Mathieu series posed by Hoorfar and Qi
Gergő Nemes
In this paper, the author gives a solution to an open problem about the famous Mathieu series, that is, he obtains a sharp double inequality for bounding this series.