# Digamma Function Calculator

Calculate the digamma function efficiently with our Digamma Function Calculator.

 X
 Result: Gamma (x) Γ(X)=

## Similar Calculators:

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.