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math.GM2017★ 4 cited
An iteration procedure for a two-term Machin-like formula for pi with small Lehmer's measure
S. M. Abrarov, B. M. Quine
In this paper we present a two-term Machin-like formula for pi \[\fracπ{4} = 2^{k - 1}\arctan\left(\frac{1}{u_1}\right) + \arctan\left(\frac{1}{u_2}\right)\] with small Lehmer's me…
math.GM2017
A set of the Viète-like recurrence relations for the unity constant
S. M. Abrarov, B. M. Quine
Using a simple Viète-like formula for based on the nested radicals and , we derive a set of the recurrence relations for the constant…