Euler–Mascheroni constant
![The area of the blue region converges to the Euler–Mascheroni constant.](/Images/godic/202501/12/Gamma-area.svg0714.png")
![abm(x) = γ−x](/Images/godic/202501/12/Generalisation_of_Euler–Mascheroni_constant0714.jpg")
The Euler–Mascheroni constant (also called Euler's constant) is a mathematical constant recurring in analysis and number theory, usually denoted by the lowercase Greek letter gamma (γ).
It is defined as the limiting difference between the harmonic series and the natural logarithm: