Path: news.ccsf.jp!norn-news!netnews.mcu.or.jp!tomockey.ddo.jp!feeder.erje.net!newsfeed.straub-nv.de!eternal-september.org!feeder.eternal-september.org!mx04.eternal-september.org!.POSTED!not-for-mail
From: "Kyoko Yoshida" <kyokoyoshida123@gmail.com>
Newsgroups: fj.sci.math
Subject: =?iso-2022-jp?B?GyRCJiMbKEIocykbJEIkLCJpGyhCXzBeGyRCIWcbKEJ4XntzLTF9ZXhw?=
	=?iso-2022-jp?B?KC14KWR4GyRCJE4yckBPQFxCMyRLJEokQyRGJCQkazt2JE4+WkxAGyhC?=
	=?iso-2022-jp?B?GyRCJEcbKEI=?=
Date: Thu, 16 Aug 2012 17:06:29 -0400
Organization: A noiseless patient Spider
Lines: 8
Message-ID: <k0jnc5$65e$1@dont-email.me>
Mime-Version: 1.0
Content-Type: text/plain;
	format=flowed;
	charset="iso-2022-jp";
	reply-type=original
Content-Transfer-Encoding: 7bit
Injection-Date: Thu, 16 Aug 2012 21:06:13 +0000 (UTC)
Injection-Info: mx04.eternal-september.org; posting-host="6dd6dc0f0c56979be11f1cf9b0c346f0";
	logging-data="6318"; mail-complaints-to="abuse@eternal-september.org";	posting-account="U2FsdGVkX1/ecFwiFDgbM6RZfJZsiKqrR9sGj16R4gw="
X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2900.6157
X-Antivirus-Status: Clean
X-Newsreader: Microsoft Outlook Express 6.00.2900.5931
X-Antivirus: avast! (VPS 120816-0, 2012/08/16), Outbound message
Cancel-Lock: sha1:95S4roHnyVjeXnwTrGGzdGDHBAk=
X-Priority: 3
X-MSMail-Priority: Normal
Xref: news.ccsf.jp fj.sci.math:3607

いつも大変お世話になっております。

Γ(s)が確かに∫_0^∞x^{s-1}exp(-x)dxの解析接続になってる事の証明を試んでいるのですが
http://www.geocities.jp/sayori_765195/prop199_953__00.pdf
2ページ目の下から3行目でlim_{n→∞}lim_{k→∞}をlim_{n,k→∞}と言う風に極限の順序を問わなくていいことを述べたいのですがここでの理由付けはどうなりましょうか?

吉田京子