Q-Chu-Vandermonde 항등식
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개요
- 초기하 급수의 합공식 Chu-Vandermonde 공식\[\,_2F_1(-n,b;c;1)=\dfrac{(c-b)_{n}}{(c)_{n}}\]
- q-analogue
\( _2\phi_1(q^{-n},b;c;q,cq^n/b)=\frac{(cq^n;q)_\infty(c/b;q)_\infty}{(c;q)_\infty(cq^n/b;q)_\infty}=\frac{(c/b;q)_n}{(c;q)_n}\)
\(_2\phi_1(q^{-n},b;c;q,q)=\frac{(c/b;q)_n}{(c;q)_n}b^n\)
메모
관련된 항목들
수학용어번역
사전 형태의 자료
- http://en.wikipedia.org/wiki/Q-Vandermonde_identity
- http://en.wikipedia.org/wiki/Vandermonde's_identity
- http://mathworld.wolfram.com/q-Chu-VandermondeIdentity.html
- http://en.wikipedia.org/wiki/
- The Online Encyclopaedia of Mathematics
- NIST Digital Library of Mathematical Functions
- The World of Mathematical Equations
리뷰논문과 에세이
관련논문
- Some generalized Durfee square identities
- Ira M. Gessel, Discrete MathematicsVolume 49, Issue 1, March 1984, Pages 41-44
- Some combinatorial identities associated with the Vandermonde convolution
- H. W. Gould and H. M. Srivastava, 1997
- Some Generalizations of Vandermonde's Convolution
- H. W. Gould, The American Mathematical Monthly, Vol. 63, No. 2 (Feb., 1956), pp. 84-91
링크
메타데이터
위키데이터
- ID : Q7265292
Spacy 패턴 목록
- [{'LOWER': 'q'}, {'OP': '*'}, {'LOWER': 'vandermonde'}, {'LEMMA': 'identity'}]