Log Gamma Function

Log Gamma function online calculator and formula

Calculate the Log Gamma function


This function calculates Euler's log gamma function. The gamma function is one of the most important special functions and is used in analysis and function theory. It is denoted by the Greek capital letter Γ (gamma).

To perform the calculation, enter the argument x. Then click the calculate button.


Log Gamma function calculator

 Input
Argument
Decimal places
 Result
Result

To read the individual values move the mouse over the graphic.

The Y-scale is limited to +6.


Formula for Euler's log gamma function

\(\displaystyle ln\Gamma(a)=-γa-ln(a)+\sum_{k-1}^{∞}\left(\frac{a}{k}-ln\left (1+\frac{a}{k}\right) \right) \)

A detailed description can be found at Wikipedia


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