`eulergamma`

Euler-Mascheroni constant, 0.5772, as a symbolic constant.

Category: Mathematics > Mathematical Functions

Syntax

eulergamma

Symbolic constant equal to the limit of 1 + 1/2 + ... + 1/n - log(n).

Description

The constant measures how far the harmonic sum is from the logarithm. It shows up in the series of the exponential and cosine integrals, in the gamma function (-gamma'(1)) and in number theory. It is unknown whether it is rational.

Output arguments

g: Symbolic constant, exact until converted with double or vpa.

Example

Symbolic and numeric value

eulergamma
vpa(eulergamma, 10)
sum(1./(1:1000)) - log(1000)

Output

ans = eulergamma
ans = 0.5772156649
ans = 0.5777

See also

catalan cosint gamma vpa psi