"포흐하머 (Pochhammer) 기호"의 두 판 사이의 차이

수학노트
둘러보기로 가기 검색하러 가기
6번째 줄: 6번째 줄:
  
 
<h5>개요</h5>
 
<h5>개요</h5>
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*  
  
 
 
 
 
  
 
 
 
 
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<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">Pochhammer 기호</h5>
  
 
 
 
 
  
<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">Pochhammer 기호</h5>
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<math>(a)_0 = 1</math>
  
<math>(a)_n=a(a+1)(a+2)...(a+n-1),\,(a)_0 = 1</math>
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<math>(a)_n=a(a+1)(a+2)...(a+n-1)</math>
  
 
<math>(a;q)_n = \prod_{k=0}^{n-1} (1-aq^k)=(1-a)(1-aq)(1-aq^2)\cdots(1-aq^{n-1})</math>
 
<math>(a;q)_n = \prod_{k=0}^{n-1} (1-aq^k)=(1-a)(1-aq)(1-aq^2)\cdots(1-aq^{n-1})</math>
31번째 줄: 35번째 줄:
 
 
 
 
  
<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">상위 주제</h5>
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<h5>재미있는 사실</h5>
  
 
 
 
 
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* 네이버 지식인 http://kin.search.naver.com/search.naver?where=kin_qna&query=
  
 
 
 
 
39번째 줄: 45번째 줄:
 
 
 
 
  
==== 하위페이지 ====
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<h5>역사</h5>
  
* [[1964250|0 토픽용템플릿]]<br>
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* [[수학사연표 (역사)|수학사연표]]
** [[2060652|0 상위주제템플릿]]<br>
 
  
 
 
 
 
48번째 줄: 53번째 줄:
 
 
 
 
  
<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">재미있는 사실</h5>
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<h5>메모</h5>
  
 
 
 
 
54번째 줄: 59번째 줄:
 
 
 
 
  
<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">역사</h5>
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<h5>관련된 항목들</h5>
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* [[#|초기하급수(Hypergeometric series)]]
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* [[4145299|q-급수]]
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* [[q-초기하급수(q-hypergeometric series) (통합됨)|q-초기하급수(q-hypergeometric series)]]
  
* [[수학사연표 (역사)|수학사연표]]
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<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">수학용어번역</h5>
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* http://www.google.com/dictionary?langpair=en|ko&q=
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* [http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&ftype=&fstr= 대한수학회 수학 학술 용어집]<br>
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** http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&ftype=eng_term&fstr=
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* [http://kms.or.kr/home/kor/board/bulletin_list_subject.asp?bulletinid=%7BD6048897-56F9-43D7-8BB6-50B362D1243A%7D&boardname=%BC%F6%C7%D0%BF%EB%BE%EE%C5%E4%B7%D0%B9%E6&globalmenu=7&localmenu=4 대한수학회 수학용어한글화 게시판]
  
 
 
 
 
62번째 줄: 78번째 줄:
 
 
 
 
  
<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">관련된 고교수학 또는 대학수학</h5>
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<h5>사전 형태의 자료</h5>
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* http://ko.wikipedia.org/wiki/
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* http://en.wikipedia.org/wiki/Quantum_calculus
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* http://en.wikipedia.org/wiki/Pochhammer_symbol
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* http://en.wikipedia.org/wiki/Q-Pochhammer_symbol
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* http://en.wikipedia.org/wiki/
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* http://www.wolframalpha.com/input/?i=
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* [http://dlmf.nist.gov/ NIST Digital Library of Mathematical Functions]
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* [http://www.research.att.com/%7Enjas/sequences/index.html The On-Line Encyclopedia of Integer Sequences]<br>
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** http://www.research.att.com/~njas/sequences/?q=
  
 
 
 
 
68번째 줄: 96번째 줄:
 
 
 
 
  
<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">관련된 다른 주제들</h5>
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<h5>관련논문</h5>
  
* [[#|초기하급수(Hypergeometric series)]]<br>
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* http://www.jstor.org/action/doBasicSearch?Query=
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* http://dx.doi.org/
  
 
 
 
 
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<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">관련도서 및 추천도서</h5>
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<h5>관련도서 및 추천도서</h5>
  
* Quantum calculus<br>
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* [http://www.amazon.com/Quantum-Calculus-Victor-Kac/dp/0387953418 Quantum calculus]<br>
 
** Victor Kac, Pokman Cheung, Universitext, Springer-Verlag, 2002
 
** Victor Kac, Pokman Cheung, Universitext, Springer-Verlag, 2002
 
 
*  도서내검색<br>
 
*  도서내검색<br>
 
** http://books.google.com/books?q=
 
** http://books.google.com/books?q=
 
** http://book.daum.net/search/contentSearch.do?query=
 
** http://book.daum.net/search/contentSearch.do?query=
 
*  도서검색<br>
 
*  도서검색<br>
** http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=quantum+calculus
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** http://books.google.com/books?q=
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** http://book.daum.net/search/mainSearch.do?query=
 
** http://book.daum.net/search/mainSearch.do?query=
 
** http://book.daum.net/search/mainSearch.do?query=
  
 
 
 
 
 
<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">참고할만한 자료</h5>
 
 
* http://ko.wikipedia.org/wiki/
 
* http://en.wikipedia.org/wiki/Quantum_calculus
 
* http://en.wikipedia.org/wiki/Pochhammer_symbol
 
* http://en.wikipedia.org/wiki/Q-Pochhammer_symbol
 
  
 
 
 
 
  
<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">관련기사</h5>
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<h5>관련기사</h5>
  
 
*  네이버 뉴스 검색 (키워드 수정)<br>
 
*  네이버 뉴스 검색 (키워드 수정)<br>
** http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
 
** http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
 
 
** http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
 
** http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
 
** http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
 
** http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
112번째 줄: 132번째 줄:
 
 
 
 
  
<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">블로그</h5>
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<h5>블로그</h5>
  
* 구글 블로그 검색 http://blogsearch.google.com/blogsearch?q=
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* 구글 블로그 검색<br>
* 트렌비 블로그 검색 http://www.trenb.com/search.qst?q=
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** http://blogsearch.google.com/blogsearch?q=
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* [http://navercast.naver.com/science/list 네이버 오늘의과학]
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* [http://math.dongascience.com/ 수학동아]
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* [http://www.ams.org/mathmoments/ Mathematical Moments from the AMS]
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* [http://betterexplained.com/ BetterExplained]

2009년 12월 7일 (월) 07:44 판

이 항목의 스프링노트 원문주소

 

 

개요
  •  

 

 

Pochhammer 기호

 

\((a)_0 = 1\)

\((a)_n=a(a+1)(a+2)...(a+n-1)\)

\((a;q)_n = \prod_{k=0}^{n-1} (1-aq^k)=(1-a)(1-aq)(1-aq^2)\cdots(1-aq^{n-1})\)

 

 

캐츠(Kac)의 기호

\({(1-a)_q^n}:=(a;q)_n = \prod_{k=0}^{n-1} (1-aq^k)=(1-a)(1-aq)(1-aq^2)\cdots(1-aq^{n-1})\)

 

 

재미있는 사실

 

 

 

역사

 

 

메모

 

 

관련된 항목들

 

수학용어번역

 

 

사전 형태의 자료

 

 

관련논문

 

 

관련도서 및 추천도서

 

 

관련기사

 

 

블로그