"Gieseking's constant"의 두 판 사이의 차이

2020년 12월 28일 (월) 04:21 기준 최신판

\(\psi^{(1)}(z + 1) - \psi^{(1)}(z) =-\frac{1}{z^{2}}\)

\(\psi^{(1)}(\frac{1}{3})-\psi^{(1)}(\frac{4}{3})=9\)

\(\operatorname{Cl}_2(\frac{\pi}{3})=\frac{\sqrt{3}}{12}(\psi^{(1)}(\frac{1}{3})-\psi^{(1)}(\frac{2}{3}))\)

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+[http://pythagoras0.springnote.com/pages/6091635 트리감마 함수(trigamma function)]
+<math>\psi^{(1)}(z + 1) - \psi^{(1)}(z) =-\frac{1}{z^{2}}</math>
+<math>\psi^{(1)}(\frac{1}{3})-\psi^{(1)}(\frac{4}{3})=9</math>
+==Gieseking's constant==
+<math>\operatorname{Cl}_2(\frac{\pi}{3})=\frac{\sqrt{3}}{12}(\psi^{(1)}(\frac{1}{3})-\psi^{(1)}(\frac{2}{3}))</math>
+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
+[http://www.jstor.org/stable/2690774 The Newest Inductee in the Number Hall of Fame]
+* Colin C. Adams, Mathematics Magazine, Vol. 71, No. 5 (Dec., 1998), pp. 341-349
+[[분류:math and physics]]
+[[분류:migrate]]