`catalan`

Catalan's constant, 0.9160, as a symbolic constant.

Category: Mathematics > Mathematical Functions

Syntax

catalan

Symbolic constant equal to the sum of (-1)^k/(2k+1)^2 for k = 0, 1, 2, ...

Description

Catalan's constant appears in combinatorics, in integrals such as that of log(x)/(1+x^2), and in values of the dilogarithm. No closed form in terms of simpler constants is known. Expressions that contain catalan keep it as a symbol, so 2*catalan prints as 2*catalan.

Output arguments

G: Symbolic constant; it stays exact until converted with double or vpa.

Example

Symbolic and numeric value

catalan
double(catalan)
vpa(catalan, 12)

Output

ans = catalan
ans = 0.9160
ans = 0.915965594177

See also

eulergamma pi vpa double dilog