{"id":80957,"date":"2024-04-25T19:39:09","date_gmt":"2024-04-25T19:39:09","guid":{"rendered":"https:\/\/science-hub.click\/%E3%82%AF%E3%83%B3%E3%83%9E%E3%83%BC%E9%96%A2%E6%95%B0%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC\/"},"modified":"2024-04-25T19:39:09","modified_gmt":"2024-04-25T19:39:09","slug":"%E3%82%AF%E3%83%B3%E3%83%9E%E3%83%BC%E9%96%A2%E6%95%B0%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=80957","title":{"rendered":"\u30af\u30f3\u30de\u30fc\u95a2\u6570\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac"},"content":{"rendered":"

\u6570\u5b66\u3067\u306f\u3001\u30af\u30f3\u30de\u30fc\u95a2\u6570<\/strong>\u3068\u3057\u3066\u77e5\u3089\u308c\u308b\u95a2\u6570\u304c\u3044\u304f\u3064\u304b\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u3046\u3061\u306e 1 \u3064\u306f\u3001Kummer \u3068 ET Whittaker \u306e\u5408\u6d41\u8d85\u5e7e\u4f55\u95a2\u6570\u3068\u3057\u3066\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u3002\u3082\u3046 1 \u3064\u306f\u3001\u4ee5\u4e0b\u3067\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u308b\u3088\u3046\u306b\u3001\u591a\u91cd\u5bfe\u6570\u95a2\u6570<\/a><\/span>\u306b\u95a2\u9023\u3057\u3066\u3044\u307e\u3059\u3002\u3069\u3061\u3089\u3082\u6570\u5b66\u8005<\/a><\/span>\u30a8\u30eb\u30f3\u30b9\u30c8\u30fb\u30af\u30f3\u30de\u30fc\u306b\u3061\u306a\u3093\u3067\u547d\u540d\u3055\u308c\u307e\u3057\u305f\u3002<\/p>

\u30af\u30f3\u30de\u30fc\u95a2\u6570\u306f<\/a><\/span>\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002 <\/p>

$$ {\\Lambda_n(z)=\\int_0^z \\frac{\\log^{n-1}|t|}{1+t}\\;dt} $$<\/div> \u3002<\/dd><\/dl>

\u91cd\u8907\u306e\u516c\u5f0f\u306f\u3001 <\/p>

$$ {\\Lambda_n(z)+\\Lambda_n(-z)= 2^{1-n}\\Lambda_n(-z^2)\\,} $$<\/div> \u3002<\/dd><\/dl>

\u3053\u308c\u3092\u591a\u91cd\u5bfe\u6570\u3092\u8907\u88fd\u3059\u308b\u516c\u5f0f\u3068\u6bd4\u8f03\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002 <\/p>

$$ {\\operatorname{Li}_n(z)+\\operatorname{Li}_n(-z)= 2^{1-n}\\operatorname{Li}_n(z^2)} $$<\/div> \u3002<\/dd><\/dl>

\u591a\u91cd\u5bfe\u6570\u3078\u306e\u660e\u793a\u7684\u306a\u30ea\u30f3\u30af\u306f\u6b21\u306e\u3088\u3046\u306b\u4e0e\u3048\u3089\u308c\u307e\u3059\u3002 <\/p>

$$ {\\operatorname{Li}_n(z)=\\operatorname{Li}_n(1)\\;\\;+\\;\\; \\sum_{k=1}^{n-1} (-1)^{k-1} \\;\\frac{\\log^k |z|} {k!} \\;\\operatorname{Li}_{n-k} (z) \\;\\;+\\;\\; \\frac{(-1)^{n-1}}{(n-1)!} \\;\\left[ \\Lambda_n(-1) – \\Lambda_n(-z) \\right]} $$<\/div> \u3002<\/dd><\/dl>

\u51fa\u7248\u7269<\/span><\/h2>

\u30ec\u30ca\u30fc\u30c9\u30fb\u30eb\u30fc\u30a6\u30a3\u30f3\uff08\u7de8\uff09\u3002\u591a\u5bfe\u6570\u306e\u69cb\u9020\u7279\u6027<\/i>(1991) \u30d7\u30ed\u30d3\u30c7\u30f3\u30b9\u3001RI: \u30a2\u30e1\u30ea\u30ab\u6570\u5b66\u5354\u4f1a\u3001\u30d7\u30ed\u30d3\u30c7\u30f3\u30b9 RI\u3002 ISBN 0-8218-4532-2<\/p><\/div>

\n\"\u30af\u30f3\u30de\u30fc\u95a2\u6570\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\"<\/figure>

\u53c2\u8003\u8cc7\u6599<\/h2>
  1. Kummer’s function \u2013 anglais<\/a><\/li>
  2. Funci\u00f3n de Kummer \u2013 espagnol<\/a><\/li>
  3. Kummer-f\u00fcggv\u00e9ny \u2013 hongrois<\/a><\/li>
  4. \u062a\u0627\u0628\u0639 (\u062a\u0648\u0636\u064a\u062d) \u2013 arabe<\/a><\/li>
  5. Funksiya \u2013 azerba\u00efdjanais<\/a><\/li>
  6. \u0424\u0443\u043d\u043a\u0446\u0438\u044f (\u043f\u043e\u044f\u0441\u043d\u0435\u043d\u0438\u0435) \u2013 bulgare<\/a><\/li><\/ol><\/div>\n
    \n

    \n \u30af\u30f3\u30de\u30fc\u95a2\u6570\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\u30fb\u95a2\u9023\u52d5\u753b\n <\/h2>\n
    \n \n
    \n
    \n