#9130: Access to beta function
---------------------------+------------------------------------------------
   Reporter:  kcrisman     |       Owner:  burcin                 
       Type:  enhancement  |      Status:  new                    
   Priority:  major        |   Milestone:  sage-5.0               
  Component:  symbolics    |    Keywords:  special function, pynac
     Author:               |    Upstream:  N/A                    
   Reviewer:               |      Merged:                         
Work_issues:               |  
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Comment(by kcrisman):

 I wasn't suggesting which of the several packages in Sage should be used
 for numerical evaluation, though mpmath did come to mind :-)

 I don't think that beta(0.5,0.5) would work, given that
 {{{
 sage: gamma(0.5)
 1.77245385090552
 sage: gamma(1/2)
 sqrt(pi)
 }}}
 but beta(1/2,1/2) becoming pi should work fine once we have a symbolic
 wrapper (with or without Ginac):
 {{{
 sage: maxima_console()
 Maxima 5.21.1 http://maxima.sourceforge.net
 using Lisp ECL 10.4.1
 Distributed under the GNU Public License. See the file COPYING.
 Dedicated to the memory of William Schelter.
 The function bug_report() provides bug reporting information.
 (%i1) beta(1/2,1/2);
 (%o1)                                 %pi
 }}}
 Please do try to add this!  We definitely often get email asking for
 various special functions both symbolically and numerically.  Also, the
 more examples we have, the easier it is to finish off the rest of them by
 cut and paste.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9130#comment:2>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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