"감마곱 (Gamma Products)"의 두 판 사이의 차이
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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%;">이 항목의 수학노트 원문주소</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%;">이 항목의 수학노트 원문주소</h5> | ||
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| + | * [[감마곱 (Gamma Products)]] | ||
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| + | <h5>예</h5> | ||
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| + | <math>\Gamma \left(\frac{1}{6}\right) \Gamma \left(\frac{5}{6}\right)=2\sqrt{\pi }</math> | ||
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| + | <math>\Gamma \left(\frac{1}{14}\right) \Gamma \left(\frac{9}{14}\right) \Gamma \left(\frac{11}{14}\right)=4{\pi ^{3/2}}</math> | ||
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| + | <math>\Gamma \left(\frac{3}{14}\right) \Gamma \left(\frac{5}{14}\right) \Gamma \left(\frac{13}{14}\right)=2\pi ^{3/2}</math> | ||
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* Luschny, Peter, and Stefan Wehmeier. 2009. “The lcm(1,2,...,n) as a product of sine values sampled over the points in Farey sequences.” <em>0909.1838</em> (September 10). http://arxiv.org/abs/0909.1838 . | * Luschny, Peter, and Stefan Wehmeier. 2009. “The lcm(1,2,...,n) as a product of sine values sampled over the points in Farey sequences.” <em>0909.1838</em> (September 10). http://arxiv.org/abs/0909.1838 . | ||
* Martin, Greg. 2009. “A product of Gamma function values at fractions with the same denominator.” <em>0907.4384</em> (July 24). http://arxiv.org/abs/0907.4384 .<br> | * Martin, Greg. 2009. “A product of Gamma function values at fractions with the same denominator.” <em>0907.4384</em> (July 24). http://arxiv.org/abs/0907.4384 .<br> | ||
| − | * | + | * Nijenhuis, Albert. 2009. “Small Gamma Products with Simple Values.” <em>0907.1689</em> (July 9). http://arxiv.org/abs/0907.1689 . |
| + | * Problem 11426, M. L. Glasser, The American Mathematical Monthly, Vol. 116, No. 4 (Apr., 2009), p. 365 http://www.jstor.org/stable/40391099<br> | ||
* http://www.jstor.org/action/doBasicSearch?Query= | * http://www.jstor.org/action/doBasicSearch?Query= | ||
* http://www.ams.org/mathscinet | * http://www.ams.org/mathscinet | ||
2011년 5월 18일 (수) 18:00 판
이 항목의 수학노트 원문주소
개요
예
\(\Gamma \left(\frac{1}{6}\right) \Gamma \left(\frac{5}{6}\right)=2\sqrt{\pi }\)
\(\Gamma \left(\frac{1}{14}\right) \Gamma \left(\frac{9}{14}\right) \Gamma \left(\frac{11}{14}\right)=4{\pi ^{3/2}}\)
\(\Gamma \left(\frac{3}{14}\right) \Gamma \left(\frac{5}{14}\right) \Gamma \left(\frac{13}{14}\right)=2\pi ^{3/2}\)
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/
- The Online Encyclopaedia of Mathematics
- NIST Digital Library of Mathematical Functions
- The World of Mathematical Equations
관련논문
- Luschny, Peter, and Stefan Wehmeier. 2009. “The lcm(1,2,...,n) as a product of sine values sampled over the points in Farey sequences.” 0909.1838 (September 10). http://arxiv.org/abs/0909.1838 .
- Martin, Greg. 2009. “A product of Gamma function values at fractions with the same denominator.” 0907.4384 (July 24). http://arxiv.org/abs/0907.4384 .
- Nijenhuis, Albert. 2009. “Small Gamma Products with Simple Values.” 0907.1689 (July 9). http://arxiv.org/abs/0907.1689 .
- Problem 11426, M. L. Glasser, The American Mathematical Monthly, Vol. 116, No. 4 (Apr., 2009), p. 365 http://www.jstor.org/stable/40391099
- http://www.jstor.org/action/doBasicSearch?Query=
- http://www.ams.org/mathscinet
- http://dx.doi.org/
관련도서