"트리감마 함수(trigamma function)"의 두 판 사이의 차이

@@ 7번째 줄: / 7번째 줄: @@
 <h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">개요</h5>
+<math>\psi'(z)=\frac{1}{z^2}+\sum_{n=1}^\infty \frac{1}{(n+z)^2}</math>
+<math>\operatorname{Cl}_2(\frac{\pi}{3})=\frac{\sqrt{3}}{12}(\psi^{(1)}(\frac{1}{3})-\psi^{(1)}(\frac{2}{3}))</math>
+여기서 <math>\psi^{(1)}</math>는 트리감마(trigamma)함수.
-[[중심이항계수(central binomial coefficient)]]
+[[로바체프스키 함수|로바체프스키와 클라우센 함수]]
-<math>\sum_{n=1}^\infty \frac{1}{n^3\binom{2n}{n}}=\frac{\pi\sqrt{3}}{18}(\psi^{(1)}(\frac{1}{3})-\psi^{(1)}(\frac{2}{3}))-\frac{4}{3}\zeta(3)</math>
+http://mathworld.wolfram.com/GiesekingsConstant.html
-여기서 <math>\psi^{(1)}</math>는 트리감마(trigamma)함수.
+http://www.research.att.com/~njas/sequences/A143298
+http://www.wolframalpha.com/input/?i=Gieseking's+constant.
+http://www.wolframalpha.com/input/?i=sqrt(3)*(trigamma(1/3)-trigamma(2/3))/12

2010년 7월 17일 (토) 05:52 판