home bbs files messages ]

Forums before death by AOL, social media and spammers... "We can't have nice things"

   sci.math.symbolic      Symbolic algebra discussion      10,432 messages   

[   << oldest   |   < older   |   list   |   newer >   |   newest >>   ]

   Message 10,178 of 10,432   
   Dr Huang to peter....@gmail.com   
   Re: An integral for the Bernoulli functi   
   11 Sep 21 20:16:31   
   
   From: drhuang57@gmail.com   
      
   On Sunday, 22 August 2021 at 21:39:09 UTC+10, peter....@gmail.com wrote:   
   > Consider the Bernoulli function B(s) = -s*Zeta(1 - s).   
   >   
   > Assume s > 0 and real. Then we have the representation   
   >   
   > B(s) = v(s)*w(s), where   
   >   
   > v(s) = Pi*cos(Pi*s/2)/(2^(1 - s) - 1) and   
   > w(s) = Integral_{z=0..infinity} z^s*sech(Pi*z)^2.   
   >   
   > Which method do you recommend for calculating the integral?   
      
   recommend for calculating the integral with integrate2D( ) in MathHand.com   
   some functions cannot be differentiated or integrated symbolically, but can be   
   semi-differentiated and integrated graphically in plot2D. e.g.   
   integrate2D numerically and graphically integrate a function on graph. it   
   convert the integrate( ) to the integrates(x=>sin(x)) for integral graph.   
      
   http://drhuang.com/science/mathematics/software/help/example/#plot2d   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)   

[   << oldest   |   < older   |   list   |   newer >   |   newest >>   ]


(c) 1994,  bbs@darkrealms.ca