Digamma Function Calculator

Calculate the digamma function efficiently with our Digamma Function Calculator.


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Use this digamma function calculator to calculate the digamma function (also known as the psi function) for a given real number or complex number. The digamma function is a special mathematical function that arises in various areas of mathematics, including number theory, calculus, and statistics.

Calculating the Digamma Function

The digamma function (\(\Psi\)) is defined as the logarithmic derivative of the gamma function (\(\Gamma\)). It can be calculated for real numbers and complex numbers. The formula for the digamma function is as follows:

\[\Psi(x) = \frac{d}{dx} [\ln(\Gamma(x))]\]

To use this tool, simply enter the value of \(x\) (real or complex), and it will provide you with the corresponding digamma function value \(\Psi(x)\).

The digamma function has applications in diverse fields, including number theory, complex analysis, and statistics. It is particularly useful in the study of prime numbers and the Riemann zeta function.