"Q-Chu-Vandermonde 항등식"의 두 판 사이의 차이
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Pythagoras0 (토론 | 기여) |
Pythagoras0 (토론 | 기여) |
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| 9번째 줄: | 9번째 줄: | ||
==개요== | ==개요== | ||
| − | * [[초기하급수의 합공식|초기하 급수의 합공식]] Chu-Vandermonde 공식:<math>\,_2F_1(-n,b;c;1)=\dfrac{(c-b)_{n}}{(c)_{n}}</math | + | * [[초기하급수의 합공식|초기하 급수의 합공식]] Chu-Vandermonde 공식:<math>\,_2F_1(-n,b;c;1)=\dfrac{(c-b)_{n}}{(c)_{n}}</math> |
| − | * q-analogue | + | * q-analogue |
| 47번째 줄: | 47번째 줄: | ||
==수학용어번역== | ==수학용어번역== | ||
| − | * 단어사전 | + | * 단어사전 |
** http://www.google.com/dictionary?langpair=en|ko&q= | ** http://www.google.com/dictionary?langpair=en|ko&q= | ||
** http://ko.wiktionary.org/wiki/ | ** http://ko.wiktionary.org/wiki/ | ||
* 발음사전 http://www.forvo.com/search/ | * 발음사전 http://www.forvo.com/search/ | ||
| − | * [http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&ftype=&fstr= 대한수학회 수학 학술 용어집] | + | * [http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&ftype=&fstr= 대한수학회 수학 학술 용어집] |
** http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&ftype=eng_term&fstr= | ** http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&ftype=eng_term&fstr= | ||
* [http://www.nktech.net/science/term/term_l.jsp?l_mode=cate&s_code_cd=MA 남·북한수학용어비교] | * [http://www.nktech.net/science/term/term_l.jsp?l_mode=cate&s_code_cd=MA 남·북한수학용어비교] | ||
| 84번째 줄: | 84번째 줄: | ||
==관련논문== | ==관련논문== | ||
| − | * [http://dx.doi.org/10.1016/0012-365X%2884%2990149-3 Some generalized Durfee square identities] | + | * [http://dx.doi.org/10.1016/0012-365X%2884%2990149-3 Some generalized Durfee square identities] |
| − | ** Ira M. Gessel, Discrete MathematicsVolume 49, Issue 1, March 1984, Pages 41-44 | + | ** Ira M. Gessel, Discrete MathematicsVolume 49, Issue 1, March 1984, Pages 41-44 |
| − | * [http://dx.doi.org/10.1016/S0096-3003%2896%2900054-9 Some combinatorial identities associated with the Vandermonde convolution] | + | * [http://dx.doi.org/10.1016/S0096-3003%2896%2900054-9 Some combinatorial identities associated with the Vandermonde convolution] |
| − | ** H. W. Gould and H. M. Srivastava, 1997 | + | ** H. W. Gould and H. M. Srivastava, 1997 |
| − | * [http://www.jstor.org/stable/2306429 Some Generalizations of Vandermonde's Convolution] | + | * [http://www.jstor.org/stable/2306429 Some Generalizations of Vandermonde's Convolution] |
| − | ** H. W. Gould, The American Mathematical Monthly, Vol. 63, No. 2 (Feb., 1956), pp. 84-91 | + | ** H. W. Gould, The American Mathematical Monthly, Vol. 63, No. 2 (Feb., 1956), pp. 84-91 |
* http://www.jstor.org/action/doBasicSearch?Query= | * http://www.jstor.org/action/doBasicSearch?Query= | ||
2020년 11월 13일 (금) 18:59 판
이 항목의 수학노트 원문주소
개요
- 초기하 급수의 합공식 Chu-Vandermonde 공식\[\,_2F_1(-n,b;c;1)=\dfrac{(c-b)_{n}}{(c)_{n}}\]
- q-analogue
\( _2\phi_1(q^{-n},b;c;q,cq^n/b)=\frac{(cq^n;q)_\infty(c/b;q)_\infty}{(c;q)_\infty(cq^n/b;q)_\infty}=\frac{(c/b;q)_n}{(c;q)_n}\)
\(_2\phi_1(q^{-n},b;c;q,q)=\frac{(c/b;q)_n}{(c;q)_n}b^n\)
역사
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