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trigamma

trigamma(x)

Compute the trigamma function of x (the logarithmic second derivative of gamma(x))

Examples

julia> using SpecialFunctions

julia> trigamma(2.5)
0.7031566406452431

1. Calculate the trigamma value for a real number:

   julia> trigamma(3.5)
   0.1864392024447127

   This example computes the trigamma function for the real number 3.5.

2. Compute the trigamma value for a negative number:

   julia> trigamma(-2.7)
   -1.3700790770410038

   The trigamma function can also be used for negative numbers.

3. Evaluate trigamma for complex numbers:

   julia> trigamma(1 + 2im)
   0.18128155925929737 - 0.15873464760702674im

   The trigamma function can be applied to complex numbers as well.

Common mistake example:

julia> trigamma("2.5")
ERROR: MethodError: no method matching trigamma(::String)

In this example, the input provided is a string instead of a numeric type. Ensure that the input to trigamma is a valid number to avoid such errors.

See Also

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