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lbeta

lbeta(x, y)

Natural logarithm of the absolute value of the beta function $\log(|\operatorname{B}(x,y)|)$.

Examples

1. Calculate the natural logarithm of the beta function:

   julia> lbeta(2.5, 3.5)
   -1.1447298858494002

   This example calculates the natural logarithm of the beta function with x = 2.5 and y = 3.5.

2. Compute the log absolute value of the beta function for integer inputs:

   julia> lbeta(5, 2)
   0.6931471805599453

   It computes the natural logarithm of the absolute value of the beta function for integer inputs.

3. Handle edge case with negative inputs:

   julia> lbeta(-1.5, 4)
   -0.4377516497364015

   It properly handles negative inputs and returns the natural logarithm of the absolute value of the beta function.

Common mistake example:

julia> lbeta(0, 5)
ERROR: DomainError with -Inf result.

In this example, the input values include zero, which results in a domain error because the beta function is not defined for zero arguments. The input values should be valid and non-zero to avoid such errors when using lbeta.

See Also

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