gamma_derivatives.qbk

Boost provides free peer-reviewed portable C++ source libraries. We emphasize libraries that work

[section:gamma_derivatives Derivative of the Incomplete Gamma Function]

[h4 Synopsis]

``
#include <boost/math/special_functions/gamma.hpp>
``

   namespace boost{ namespace math{ 
   
   template <class T1, class T2>
   ``__sf_result`` gamma_p_derivative(T1 a, T2 x);
   
   template <class T1, class T2, class ``__Policy``>
   ``__sf_result`` gamma_p_derivative(T1 a, T2 x, const ``__Policy``&);
   
   }} // namespaces
   
[h4 Description]

This function find some uses in statistical distributions: it
implements the partial derivative with respect to /x/ of the incomplete
gamma function.

[equation derivative1]

[optional_policy]

Note that the derivative of the function __gamma_q can be obtained by negating
the result of this function.

The return type of this function is computed using the __arg_pomotion_rules
when T1 and T2 are different types, otherwise the return type is simply T1.

[h4 Accuracy]

Almost identical to the incomplete gamma function __gamma_p: refer to
the documentation for that function for more information.

[h4 Implementation]

This function just expose some of the internals of the incomplete
gamma function __gamma_p: refer to the documentation for that function
for more information.

[endsect][/section Derivative of the Incomplete Gamma Functions]
[/ 
  Copyright 2006 John Maddock and Paul A. Bristow.
  Distributed under the Boost Software License, Version 1.0.
  (See accompanying file LICENSE_1_0.txt or copy at
  http://www.boost.org/LICENSE_1_0.txt).
]