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  1. "EulerMac.MTH Jim FitzSimons 25 October, 1994"
  2.  
  3. "Jim FitzSimons Phone 602-488-1859 FAX 602-488-5014 E-mail cherry@neta.com"
  4.  
  5. "This is the Euler-Maclaurin summation formula as described"
  6.  
  7. "on page 806 23.1.30 of Handbook of Mathematical Functions by"
  8.  
  9. "Milton Abramowitz and Irene A. Stegun."
  10.  
  11. EULERMAC(y,k,a0,a,b,m):=SUM(y,k,a0,a-1)+(LIM(y,k,b)+LIM(y,k,a))/2+INT(y,k,a,b~
  12. )+SUM(ZETA(1-2*j_)/(2*j_-1)!*(LIM(DIF(y,k,2*j_-1),k,a,0)-LIM(DIF(y,k,2*j_-1),~
  13. k,b,0)),j_,1,m)
  14.