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digamma

digamma(x)

Compute the digamma function of x (the logarithmic derivative of gamma(x))

Examples

julia> using SpecialFunctions

julia> digamma(2)
0.42278433509846713

julia> digamma(0.5)
-1.9635100260214235

1. Calculate the digamma function of a positive number:

   julia> digamma(3.7)
   0.6471423733718684

   This example calculates the digamma function of the number 3.7.

2. Calculate the digamma function of a negative number:

   julia> digamma(-2.5)
   -0.5240777691836912

   The digamma function can also handle negative numbers. This example calculates the digamma function of -2.5.

3. Calculate the digamma function of a complex number:

   julia> digamma(1 + 2im)
   0.42278433509846713 - 1.5707963267948966im

   The digamma function can be applied to complex numbers as well. This example calculates the digamma function of the complex number 1 + 2im.

Common mistake example:

julia> digamma(0)
ERROR: DomainError with -Inf result

In this example, the function call digamma(0) leads to a DomainError because the digamma function is not defined for zero. It's important to ensure that the input values are within the valid domain to avoid such errors.

See Also

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