"폴리로그 함수(polylogarithm)"의 두 판 사이의 차이
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* [[다이로그 함수(dilogarithm)|다이로그 함수(dilogarithm )]] 의 일반화<br> | * [[다이로그 함수(dilogarithm)|다이로그 함수(dilogarithm )]] 의 일반화<br> | ||
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<math>\operatorname{Li}_r(z)= \sum_{n=1}^\infty {z^n \over n^r}=\int_0^z \operatorname{Li}_{r-1}(z) \frac{dt}{t}</math> | <math>\operatorname{Li}_r(z)= \sum_{n=1}^\infty {z^n \over n^r}=\int_0^z \operatorname{Li}_{r-1}(z) \frac{dt}{t}</math> | ||
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* http://books.google.com/books?hl=ko&lr=&id=9G3nlZUDAhkC&oi=fnd&pg=PA391&dq=The+classical+polylogarithms,+algebraic+K-theory&ots=zst2m387di&sig=kNRuqZp_mUdFDXScW41qNbprgps#v=onepage&q=&f=false | * http://books.google.com/books?hl=ko&lr=&id=9G3nlZUDAhkC&oi=fnd&pg=PA391&dq=The+classical+polylogarithms,+algebraic+K-theory&ots=zst2m387di&sig=kNRuqZp_mUdFDXScW41qNbprgps#v=onepage&q=&f=false | ||
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* [[원주율의 BBP 공식|파이에 대한 BBP 공식]]<br> | * [[원주율의 BBP 공식|파이에 대한 BBP 공식]]<br> | ||
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* 단어사전 http://www.google.com/dictionary?langpair=en|ko&q= | * 단어사전 http://www.google.com/dictionary?langpair=en|ko&q= | ||
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* http://ko.wikipedia.org/wiki/ | * http://ko.wikipedia.org/wiki/ | ||
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* http://www.wolframalpha.com/input/?i= | * http://www.wolframalpha.com/input/?i= | ||
* [http://dlmf.nist.gov/ NIST Digital Library of Mathematical Functions] | * [http://dlmf.nist.gov/ NIST Digital Library of Mathematical Functions] | ||
| − | * [http://www.research.att.com/ | + | * [http://www.research.att.com/%7Enjas/sequences/index.html The On-Line Encyclopedia of Integer Sequences]<br> |
** http://www.research.att.com/~njas/sequences/?q= | ** http://www.research.att.com/~njas/sequences/?q= | ||
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| − | * [http://arxiv.org/abs/math/0310062 Multiple Polylogarithms: A Brief Survey] | + | * <br>[http://arxiv.org/abs/math/0310062 Multiple Polylogarithms: A Brief Survey] Douglas Bowman, David M. Bradley, 5 Oct 2003<br> |
| − | + | * <br>[http://arxiv.org/abs/math.CA/9803067 Polylogarithmic ladders, hypergeometric series and the ten millionth digits of $\zeta(3)$ and $\zeta(5)$] D. J. Broadhurst, 1998<br> | |
| − | * [http://arxiv.org/abs/math.CA/9803067 Polylogarithmic ladders, hypergeometric series and the ten millionth digits of $\zeta(3)$ and $\zeta(5)$] | ||
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| − | * [http://dx.doi.org/http://dx.doi.org/10.1090%2FS0025-5718-97-00856-9 On the rapid computation of various polylogarithmic constants] | + | * [http://dx.doi.org/http://dx.doi.org/10.1090%2FS0025-5718-97-00856-9 On the rapid computation of various polylogarithmic constants] David Bailey; Peter Borwein; Simon Plouffe.Journal: Math. Comp. 66 (1997), 903-913.<br> |
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| − | * [http://arxiv.org/abs/alg-geom/9202022 Classical Polylogarithms] | + | * <br>[http://arxiv.org/abs/alg-geom/9202022 Classical Polylogarithms] Hain, Richard, 1992<br> |
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* The classical polylogarithms, algebraic K-theory and ζ. F. (n),<br> | * The classical polylogarithms, algebraic K-theory and ζ. F. (n),<br> | ||
** Goncharov, A. Proc. of the Gelfand Seminar, Birkhauser, 113-135 | ** Goncharov, A. Proc. of the Gelfand Seminar, Birkhauser, 113-135 | ||
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* 도서내검색<br> | * 도서내검색<br> | ||
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* 네이버 뉴스 검색 (키워드 수정)<br> | * 네이버 뉴스 검색 (키워드 수정)<br> | ||
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* 구글 블로그 검색<br> | * 구글 블로그 검색<br> | ||
2011년 2월 23일 (수) 17:43 판
이 항목의 스프링노트 원문주소
개요
- 다이로그 함수(dilogarithm ) 의 일반화
정의
\(\operatorname{Li}_r(z)= \sum_{n=1}^\infty {z^n \over n^r}=\int_0^z \operatorname{Li}_{r-1}(z) \frac{dt}{t}\)
\(\operatorname{Li}_3(z) =\int_0^z \operatorname{Li}_2(z) \frac{dt}{t}\)
재미있는 사실
- Math Overflow http://mathoverflow.net/search?q=
- 네이버 지식인 http://kin.search.naver.com/search.naver?where=kin_qna&query=
역사
메모
관련된 항목들
수학용어번역
- 단어사전 http://www.google.com/dictionary?langpair=en%7Cko&q=
- 발음사전 http://www.forvo.com/search/
- 대한수학회 수학 학술 용어집
- 남·북한수학용어비교
- 대한수학회 수학용어한글화 게시판
사전 형태의 자료
- http://ko.wikipedia.org/wiki/
- http://en.wikipedia.org/wiki/Polylogarithm
- http://en.wikipedia.org/wiki/
- http://www.wolframalpha.com/input/?i=
- NIST Digital Library of Mathematical Functions
- The On-Line Encyclopedia of Integer Sequences
관련논문
-
Multiple Polylogarithms: A Brief Survey Douglas Bowman, David M. Bradley, 5 Oct 2003
-
Polylogarithmic ladders, hypergeometric series and the ten millionth digits of $\zeta(3)$ and $\zeta(5)$ D. J. Broadhurst, 1998
- On the rapid computation of various polylogarithmic constants David Bailey; Peter Borwein; Simon Plouffe.Journal: Math. Comp. 66 (1997), 903-913.
-
Classical Polylogarithms Hain, Richard, 1992
- The classical polylogarithms, algebraic K-theory and ζ. F. (n),
- Goncharov, A. Proc. of the Gelfand Seminar, Birkhauser, 113-135
- Some wonderful formulas ... an introduction to polylogarithms
- A.J. Van der Poorten, Queen's papers in Pure and Applied Mathematics, 54 (1979), 269-286
- http://www.jstor.org/action/doBasicSearch?Query=polylogarithm
- http://www.jstor.org/action/doBasicSearch?Query=
- http://www.ams.org/mathscinet
- http://dx.doi.org/http://dx.doi.org/10.1090%2FS0025-5718-97-00856-9
관련도서
- 도서내검색
- 도서검색
관련기사
- 네이버 뉴스 검색 (키워드 수정)