ceph/src/boost/libs/math/doc/sf/gamma_derivatives.qbk

   1 [section:gamma_derivatives Derivative of the Incomplete Gamma Function]
   2
   3 [h4 Synopsis]
   4
   5 ``
   6 #include <boost/math/special_functions/gamma.hpp>
   7 ``
   8
   9    namespace boost{ namespace math{
  10
  11    template <class T1, class T2>
  12    ``__sf_result`` gamma_p_derivative(T1 a, T2 x);
  13
  14    template <class T1, class T2, class ``__Policy``>
  15    ``__sf_result`` gamma_p_derivative(T1 a, T2 x, const ``__Policy``&);
  16
  17    }} // namespaces
  18
  19 [h4 Description]
  20
  21 This function find some uses in statistical distributions: it
  22 implements the partial derivative with respect to /x/ of the incomplete
  23 gamma function.
  24
  25 [equation derivative1]
  26
  27 [optional_policy]
  28
  29 Note that the derivative of the function __gamma_q can be obtained by negating
  30 the result of this function.
  31
  32 The return type of this function is computed using the __arg_promotion_rules
  33 when T1 and T2 are different types, otherwise the return type is simply T1.
  34
  35 [h4 Accuracy]
  36
  37 Almost identical to the incomplete gamma function __gamma_p: refer to
  38 the documentation for that function for more information.
  39
  40 [h4 Implementation]
  41
  42 This function just expose some of the internals of the incomplete
  43 gamma function __gamma_p: refer to the documentation for that function
  44 for more information.
  45
  46 [endsect][/section Derivative of the Incomplete Gamma Functions]
  47 [/
  48   Copyright 2006 John Maddock and Paul A. Bristow.
  49   Distributed under the Boost Software License, Version 1.0.
  50   (See accompanying file LICENSE_1_0.txt or copy at
  51   http://www.boost.org/LICENSE_1_0.txt).
  52 ]
  53
  54