beta_derivative.qbk 1.3 KB

1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950
  1. [section:beta_derivative Derivative of the Incomplete Beta Function]
  2. [h4 Synopsis]
  3. ``
  4. #include <boost/math/special_functions/beta.hpp>
  5. ``
  6. namespace boost{ namespace math{
  7. template <class T1, class T2, class T3>
  8. ``__sf_result`` ibeta_derivative(T1 a, T2 b, T3 x);
  9. template <class T1, class T2, class T3, class ``__Policy``>
  10. ``__sf_result`` ibeta_derivative(T1 a, T2 b, T3 x, const ``__Policy``&);
  11. }} // namespaces
  12. [h4 Description]
  13. This function finds some uses in statistical distributions: it
  14. computes the partial derivative with respect to /x/ of the incomplete
  15. beta function __ibeta.
  16. [equation derivative2]
  17. The return type of this function is computed using the __arg_promotion_rules
  18. when T1, T2 and T3 are different types.
  19. [optional_policy]
  20. [h4 Accuracy]
  21. Almost identical to the incomplete beta function __ibeta.
  22. [h4 Implementation]
  23. This function just expose some of the internals of the incomplete
  24. beta function __ibeta: refer to the documentation for that function
  25. for more information.
  26. [endsect] [/section Derivatives of the Incomplete Beta and Gamma Functions]
  27. [/
  28. Copyright 2006 John Maddock and Paul A. Bristow.
  29. Distributed under the Boost Software License, Version 1.0.
  30. (See accompanying file LICENSE_1_0.txt or copy at
  31. http://www.boost.org/LICENSE_1_0.txt).
  32. ]