XLPack 7.0
XLPack Numerical Library (C API) Reference Manual
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◆ ibetad()

double ibetad ( double  a,
double  b,
double  x 
)

Derivative of normalized incomplete beta function Ix(a, b)

Purpose
ibetad computes the partial derivative with respect to x of the normalized incomplete beta function Ix(a, b).
d/dx Ix(a, b) = (1 - x)^(b - 1)*x^(a - 1)/B(a, b)
Returns
Partial derivative with respect to x of Ix(a, b).
Parameters
[in]aArgument a. (a > 0)
[in]bArgument b. (b > 0)
[in]xArgument x. (0 <= x <= 1)
Error handling
  • If a <= 0, b <= 0, x < 0 or x > 1, domain error (EDOM) occurs.
  • Range error (ERANGE) may occur.
Reference
boost/math/special_functions