Gauss's Constant

Gauss's Constant is defined as the reciprocal of the arithmetic geometric mean of 1 and √2. Gauss's constant can be expressed as [0, 1, 5, 21, 3, 4, 14, ...]. in continued fractions. The constant is denoted by G. It was named after the German mathematician Carl Friedrich Gauss after his derivation of G = 2 / π integral (0 to 1) dx / √(1 - x 4. It is used in lemniscate constants. It is related to the Gamma function as Γ (1/4) = √2G √2π3

Constant Name

Gauss's Constant

Symbol : G

Value : 0.83462 68416 74073 18628

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