"Gieseking's constant"의 두 판 사이의 차이
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imported>Pythagoras0 잔글 (찾아 바꾸기 – “<h5>” 문자열을 “==” 문자열로) |
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| − | + | ==Gieseking's constant</h5> | |
<math>\operatorname{Cl}_2(\frac{\pi}{3})=\frac{\sqrt{3}}{12}(\psi^{(1)}(\frac{1}{3})-\psi^{(1)}(\frac{2}{3}))</math> | <math>\operatorname{Cl}_2(\frac{\pi}{3})=\frac{\sqrt{3}}{12}(\psi^{(1)}(\frac{1}{3})-\psi^{(1)}(\frac{2}{3}))</math> | ||
2012년 10월 28일 (일) 13:00 판
\(\psi^{(1)}(z + 1) - \psi^{(1)}(z) =-\frac{1}{z^{2}}\)
\(\psi^{(1)}(\frac{1}{3})-\psi^{(1)}(\frac{4}{3})=9\)
==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
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- Colin C. Adams, Mathematics Magazine, Vol. 71, No. 5 (Dec., 1998), pp. 341-349