[ceph.git] / ceph / src / boost / libs / math / doc / sf / gamma_derivatives.qbk

[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_promotion_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).
]
Commit	Line	Data
7c673cae FG	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