"Gieseking's constant"의 두 판 사이의 차이
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Pythagoras0 (토론 | 기여) |
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(사용자 2명의 중간 판 8개는 보이지 않습니다) | |||
1번째 줄: | 1번째 줄: | ||
+ | [http://pythagoras0.springnote.com/pages/6091635 트리감마 함수(trigamma function)] | ||
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+ | <math>\psi^{(1)}(z + 1) - \psi^{(1)}(z) =-\frac{1}{z^{2}}</math> | ||
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+ | <math>\psi^{(1)}(\frac{1}{3})-\psi^{(1)}(\frac{4}{3})=9</math> | ||
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+ | ==Gieseking's constant== | ||
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+ | <math>\operatorname{Cl}_2(\frac{\pi}{3})=\frac{\sqrt{3}}{12}(\psi^{(1)}(\frac{1}{3})-\psi^{(1)}(\frac{2}{3}))</math> | ||
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http://mathworld.wolfram.com/GiesekingsConstant.html | http://mathworld.wolfram.com/GiesekingsConstant.html | ||
http://www.research.att.com/~njas/sequences/A143298 | http://www.research.att.com/~njas/sequences/A143298 | ||
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+ | http://www.research.att.com/~njas/sequences/A091518 | ||
http://www.wolframalpha.com/input/?i=Gieseking's+constant. | http://www.wolframalpha.com/input/?i=Gieseking's+constant. | ||
7번째 줄: | 23번째 줄: | ||
http://www.wolframalpha.com/input/?i=sqrt(3)*(trigamma(1/3)-trigamma(2/3))/12 | http://www.wolframalpha.com/input/?i=sqrt(3)*(trigamma(1/3)-trigamma(2/3))/12 | ||
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[http://www.jstor.org/stable/2690774 The Newest Inductee in the Number Hall of Fame] | [http://www.jstor.org/stable/2690774 The Newest Inductee in the Number Hall of Fame] | ||
− | * Colin C. Adams, | + | * Colin C. Adams, Mathematics Magazine, Vol. 71, No. 5 (Dec., 1998), pp. 341-349 |
+ | [[분류:math and physics]] | ||
+ | [[분류:migrate]] |
2020년 12월 28일 (월) 04:21 기준 최신판
\(\psi^{(1)}(z + 1) - \psi^{(1)}(z) =-\frac{1}{z^{2}}\)
\(\psi^{(1)}(\frac{1}{3})-\psi^{(1)}(\frac{4}{3})=9\)
Gieseking's constant
\(\operatorname{Cl}_2(\frac{\pi}{3})=\frac{\sqrt{3}}{12}(\psi^{(1)}(\frac{1}{3})-\psi^{(1)}(\frac{2}{3}))\)
http://mathworld.wolfram.com/GiesekingsConstant.html
http://www.research.att.com/~njas/sequences/A143298
http://www.research.att.com/~njas/sequences/A091518
http://www.wolframalpha.com/input/?i=Gieseking's+constant.
http://www.wolframalpha.com/input/?i=sqrt(3)*(trigamma(1/3)-trigamma(2/3))/12
The Newest Inductee in the Number Hall of Fame
- Colin C. Adams, Mathematics Magazine, Vol. 71, No. 5 (Dec., 1998), pp. 341-349