Euler's constant EulerGamma
is given by the limit
. It appears in many integrals, and asymptotic formulas. It is sometimes known as the Euler-Mascheroni constant, and denoted
Catalan's constant Catalan
is given by the sum
. It often appears in asymptotic estimates of combinatorial functions. It is variously denoted by
Khinchin's constant Khinchin
(sometimes called Khintchine's constant) is given by
. It gives the geometric mean of the terms in the continued fraction representation for a typical real number.
Glaisher's constant Glaisher
(sometimes called the Glaisher-Kinkelin constant) satisfies
is the Riemann zeta function. It appears in various sums and integrals, particularly those involving gamma and zeta functions.