[Scipy-tickets] [SciPy] #904: ellipk(x) extending its domain for x<0

SciPy Trac scipy-tickets@scipy....
Thu Jun 2 10:21:45 CDT 2011

#904: ellipk(x) extending its domain for x<0
 Reporter:  iordan.hristov  |       Owner:  pv          
     Type:  enhancement     |      Status:  needs_review
 Priority:  normal          |   Milestone:  0.9.0       
Component:  scipy.special   |     Version:  0.7.0       
 Keywords:  ellipk          |  

Comment(by smilazzo):

 The solution to this problem (parameter < 0, or imaginary modulus) is an
 "Imaginary Modulus Transformation".  This simple transformation extends
 the elliptic integral's domain to the entire negative axis.  The complete
 transformation can be found at
 Using it, SciPy returns values that agree with Mathematica to at least 12
 decimal places.

 - S.M.

Ticket URL: <http://projects.scipy.org/scipy/ticket/904#comment:2>
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