Khinchin–Lévy Constant (β)

Soviet mathematician Aleksandr Khinchin was the one who introduced the Khinchin Levy Constant ( β). Here the nth root of convergence of a continued fractions of the denominator B_n for the number x can be given as

lim_(n->∞)B_n^(1/n) = γ, where γ equal to e^π2 / (12 ln 2). The logarithm of π² / (12 ln 2) is sometimes termed as Lévy's constant and is equal to 1.18656...

Soviet mathematician Aleksandr Khinchin was the one who introduced the Khinchin Levy Constant ( β). Here the nth root of convergence of a continued fractions of the denominator B_n for the number x can be given as

lim_(n->∞)B_n^(1/n) = γ, where γ equal to e^π2 / (12 ln 2). The logarithm of π² / (12 ln 2) is sometimes termed as Lévy's constant and is equal to 1.18656...