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 Bn for the number x can be given as

lim(n->∞)Bn(1/n) = γ, where γ equal to eπ2 / (12 ln 2). The logarithm of π2 / (12 ln 2) is sometimes termed as Lévy's constant and is equal to 1.18656...

Constant Name

Khinchin-Lévy Constant

Symbol : β

Value : 1.18656 91104 15625 45282

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