File: delip.cat

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delip(1)                       Scilab Function                       delip(1)
NAME
  delip - elliptic integral

CALLING SEQUENCE
  [r]=delip(x,ck)

PARAMETERS

  x         : real number (or real vector)

  ck        : real number between -1 and 1

  r         : real or complex number (or vector)

DESCRIPTION
  returns the value of the elliptic integral with parameter ck :

  r=integral from 0 to x {dt / sqrt((1-t^2)*(1-ck^2*t^2))}

  x real and positive.  When called with x a real vector r is evaluated for
  each entry of x.

EXAMPLE
  ck=0.5;
  delip([1,2],ck)
  deff('y=f(t)','y=1/sqrt((1-t^2)*(1-ck^2*t^2))')
  intg(0,1,f)    //OK since real solution!

SEE ALSO
  amell, %asn, %sn