Some New Optimal Bounds for Wallis Ratio

Chen, Yin (2023) Some New Optimal Bounds for Wallis Ratio. Asian Research Journal of Mathematics, 19 (10). pp. 169-178. ISSN 2456-477X

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Official URL: https://doi.org/10.9734/arjom/2023/v19i10739

Abstract

Wallis ratio can be expressed as an asymptotic expansion using Stirling series and Bernoulli numbers. We prove the general inequalities for Wallis ratio for arbitrary number of terms in the asymptotic expansion. We show that the coefficients in the asymptotic expansion are the best possible.

Item Type:	Article
Subjects:	Asian STM > Mathematical Science
Depositing User:	Managing Editor
Date Deposited:	16 Oct 2023 07:38
Last Modified:	16 Oct 2023 07:38
URI:	http://journal.send2sub.com/id/eprint/2325

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