Gamma函数の漸近公式の厳密な別証明  [in Japanese] An alternative rigorous proof of the asymptotic formula of Euler's gamma-function  [in Japanese]

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Author(s)

Abstract

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.

Journal

  • The Kagoshima journal of economics

    The Kagoshima journal of economics 47(3), 147-164, 2006-12

    The International University of Kagoshima

Codes

  • NII Article ID (NAID)
    110007014659
  • NII NACSIS-CAT ID (NCID)
    AA11479673
  • Text Lang
    JPN
  • Journal Type
    大学紀要
  • ISSN
    13460226
  • NDL Article ID
    8966396
  • NDL Source Classification
    ZD11(経済--経済学)
  • NDL Call No.
    Z3-147
  • Data Source
    NDL  NII-ELS 
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