The two-term Machin-like formula for pi with small arguments of the arctangent function

Abstract

In this paper we propose a new method for determination of the two-term Machin-like formula for pi with arbitrarily small arguments of the arctangent function. This approach excludes irrational numbers in computation and leads to a significant improvement in convergence with decreasing arguments of the arctangent function.

12 pages

References in corpus (1)

• Identities for the arctangent function by enhanced midpoint integration and the high-accuracy computation of pi

Cited by in corpus (2)

• Efficient computation of pi by the Newton - Raphson iteration and a two-term Machin-like formula
• A method to reduce the Lehmer measure in a multi-term Machin-like formula for $\pi$