Asymptotic Expansions Related to the Wallis Ratio Based on the Bell Polynomials

Xu, Aimin (2022) Asymptotic Expansions Related to the Wallis Ratio Based on the Bell Polynomials. Asian Research Journal of Mathematics, 18 (11). pp. 342-350. ISSN 2456-477X

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Abstract

In this paper, we establish a new asymptotic expansion related to the Wallis ratio. By using the exponential Bell polynomials, we show that the coefficients of the asymptotic expansion can be recursively determined. In addition, an explicit expression for the coefficients is given. Our results improve and generalize the existing ones [1].

Item Type: Article
Subjects: Opene Prints > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 31 Jan 2023 06:24
Last Modified: 13 Mar 2024 04:22
URI: http://geographical.go2journals.com/id/eprint/1321

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