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arxiv: 1712.02107 · v1 · pith:B75SPI6Mnew · submitted 2017-12-06 · 🧮 math.CA

Approximation and bounds for the Wallis ratio

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keywords approximationratiowallisasymptoticboundscomparisoncomputationscontinued
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In this paper, we present an improved continued fraction approximation of the Wallis ratio. This approximation is fast in comparison with the recently discovered asymptotic series. We also establish the double-side inequality related to this approximation. Finally, some numerical computations are provided for demonstrating the superiority of our approximation.

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