"로그 탄젠트 적분(log tangent integral)"의 두 판 사이의 차이

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<math>\int_{\pi/4}^{\pi/2} \ln \ln \tan x\, dx=\frac{\pi}{2}\ln{\frac{\Gamma(\frac{3}{4})}{\Gamma(\frac{1}{4})}\sqrt{2\pi}</math>
 
<math>\int_{\pi/4}^{\pi/2} \ln \ln \tan x\, dx=\frac{\pi}{2}\ln{\frac{\Gamma(\frac{3}{4})}{\Gamma(\frac{1}{4})}\sqrt{2\pi}</math>
  
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<h5>Gradshteyn and Ryzhik</h5>
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http://www.math.tulane.edu/~vhm/Table.html
 
http://www.math.tulane.edu/~vhm/Table.html
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* [[수학사연표 (역사)|수학사연표]]
  
 
 
 
 
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* [http://www.jstor.org/stable/2323562 Integrals, an Introduction to Analytic Number Theory]<br>
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*   <br>  <br>
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** Ilan Vardi, The American Mathematical Monthly, Vol. 95, No. 4 (Apr., 1988), pp. 308-315
 
 
 
 
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2009년 9월 5일 (토) 17:51 판

간단한 소개

 

\(\int_{\pi/4}^{\pi/2} \ln \ln \tan x\, dx=\frac{\pi}{2}\ln{\frac{\Gamma(\frac{3}{4})}{\Gamma(\frac{1}{4})}\sqrt{2\pi}\)

 

\(\int_{\pi/4}^{\pi/2} \ln \ln \tan x\, dx=\frac{d}{ds}\Gamma(s)L(s)|_{s=1}\)

 

 

 

 

 

Gradshteyn and Ryzhik

http://www.math.tulane.edu/~vhm/Table.html

 

 

The integrals in Gradshteyn and Ryzhik. Part 1: A family of logarithmic integrals.

[1]Victor H. Moll

 

 

란덴변환(Landen's transformation)

 

 

재미있는 사실

 

 

역사

 

 

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