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Indexed by:期刊论文

Date of Publication:2016-11-01

Journal:RESULTS IN MATHEMATICS

Included Journals:SCIE、Scopus

Volume:70

Issue:3-4

Page Number:325-335

ISSN No.:1422-6383

Key Words:Wallis ratio; asymptotic series; continued fraction; double inequality; fast approximation formula

Abstract:In this paper, we present a new formula for approximating the Wallis ratio. This new formula is very fast in comparison with other classical or recently discovered asymptotic series. Next, inequalities related to this new formula and asymptotic series are established. Finally, for demonstrating the superiority of our new series, some numerical computations are provided.