File: gamma_derivatives.qbk

package info (click to toggle)
boost1.49 1.49.0-3.2
  • links: PTS, VCS
  • area: main
  • in suites: wheezy
  • size: 427,096 kB
  • sloc: cpp: 1,806,930; xml: 101,307; ansic: 43,491; python: 28,668; sh: 11,922; cs: 2,118; perl: 714; makefile: 671; yacc: 456; asm: 353; php: 116; lisp: 60; sql: 13; csh: 6
file content (54 lines) | stat: -rw-r--r-- 1,504 bytes parent folder | download | duplicates (4)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
[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).
]