#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:               |  
---------------------------+------------------------------------------------
 Although Maxima has the beta function, Sage doesn't:
 {{{
 sage: a, b, c = var('a b c')
 sage: assume(a > 0)
 sage: assume(b > 0)
 sage: x = var('x')
 sage: beta_dist = x**(a-1) * (1 - x)**(b-1)
 sage: c = integral(beta_dist, x, 0, 1)
 sage: c
 beta(a, b)
 sage: c(a=.5,b=.5)
 beta(0.500000000000000, 0.500000000000000)
 sage: c(a=.5,b=.5).n()
 ---------------------------------------------------------------------------
 TypeError                                 Traceback (most recent call
 last)

 /Users/karl-dietercrisman/<ipython console> in <module>()

 /Users/karl-dietercrisman/Desktop/sage-4.4.2/local/lib/python2.6/site-
 packages/sage/symbolic/expression.so in
 sage.symbolic.expression.Expression.n
 (sage/symbolic/expression.cpp:17042)()

 TypeError: cannot evaluate symbolic expression numerically
 }}}
 This *is* is Ginac, though, and there is even room for defining it in
 symbolic/expression.pyx . It probably is also included in some of our
 other libraries, as a standard special function.

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

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