초기하급수(Hypergeometric series)

초기하급수

• 두 연속한 계수의 비가 \(n\) 에 관한 유리함수인 멱급수를 초기하급수라 함. 즉,
  \(\beta_0 + \beta_1 z + \beta_2 z^2 + \dots = \sum_n \beta_n z^n\)
  

\(\frac{\beta_{n+1}}{\beta_n} = \frac{A(n)}{B(n)}\) 이고 \({A(n)},{B(n)}\)은 n에 관한 다항식인 경우

• 간단한 예

\(1+\frac{z}{1!}+\frac{z^2}{2!}+\frac{z^3}{3!}+\dots\)

\(\beta_n = \frac{1}{n!}\)

\(\frac{\beta_{n+1}}{\beta_n} = \frac{1}{n+1}\)

 

 

 

 

 

 

 

 

하위페이지

• 0 토픽용템플릿
  
  • 0 상위주제템플릿
    

 

 

 

 

많이 나오는 질문과 답변

• 네이버 지식인
  
  • http://kin.search.naver.com/search.naver?where=kin_qna&query=초기하급수
  • http://kin.search.naver.com/search.naver?where=kin_qna&query=초기하급수
  • http://kin.search.naver.com/search.naver?where=kin_qna&query=
  • http://kin.search.naver.com/search.naver?where=kin_qna&query=
  • http://kin.search.naver.com/search.naver?where=kin_qna&query=

 

 

 

관련된 다른 주제들

• Hypergeometric differential equations
• 로저스-라마누잔 항등식
• 수학사연표

 

관련도서 및 추천도서

• Conformal Mapping
  
  • Zeev Nehari
• 도서내검색
  
  • http://books.google.com/books?q=
  • http://book.daum.net/search/contentSearch.do?query=
• 도서검색
  
  • http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
  • http://book.daum.net/search/mainSearch.do?query=

 

참고할만한 자료

• Applications of Basic Hypergeometric Functions
  
  • SIAM Rev. Volume 16, Issue 4, pp. 441-484 (October 1974)
  • George E. Andrews
  • This paper surveys recent applications of basic hypergeometric functions to partitions, number theory, finite vector spaces, combinatorial identities and physics.
• http://ko.wikipedia.org/wiki/
• http://en.wikipedia.org/wiki/hypergeometric_func
• http://www.wolframalpha.com/input/?i=
• http://front.math.ucdavis.edu/search?a=&t=&c=&n=40&s=Listings&q=
• http://www.ams.org/mathscinet/search/publications.html?pg4=AUCN&s4=&co4=AND&pg5=TI&s5=&co5=AND&pg6=PC&s6=&co6=AND&pg7=ALLF&co7=AND&Submit=Search&dr=all&yrop=eq&arg3=&yearRangeFirst=&yearRangeSecond=&pg8=ET&s8=All&s7=
• 다음백과사전 http://enc.daum.net/dic100/search.do?q=
• 대한수학회 수학 학술 용어집

 

관련기사

• 네이버 뉴스 검색 (키워드 수정)
  
  • 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=

 

 

블로그

• 구글 블로그 검색 http://blogsearch.google.com/blogsearch?q=
• 트렌비 블로그 검색 http://www.trenb.com/search.qst?q=

 

이미지 검색

• http://commons.wikimedia.org/w/index.php?title=Special%3ASearch&search=
• http://images.google.com/images?q=
• http://www.artchive.com

 

동영상

• http://www.youtube.com/results?search_type=&search_query=