著者

中嶋 眞澄

出版者

鹿児島国際大学

雑誌

鹿児島経済論集 (ISSN:13460226)

巻号頁・発行日

vol.47, no.3, pp.147-164, 2006-12

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The following asymptotic formula of Euler's Gamma function; [numerical formula] is well-known: [numerical formula] But there seems to be no rigorous proof of it using the saddle point method as far as the author knows, although there are some rigorous proofs using Euler-Maclaurin's summation formula or Poisson's summation formula and so on. In this short paper we will give a rigorous proof of it using the saddle point method as well as a rigorous proof of [numerical formula] by using the same method.