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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Official URL: https://doi.org/10.9734/arjom/2022/v18i11608

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
Uncontrolled Keywords:	Wallis ratio; Asymptotic expansion; Bell polynomial
Subjects:	Eurolib Press > Mathematical Science
Depositing User:	Managing Editor
Date Deposited:	05 Nov 2022 04:26
Last Modified:	01 Jan 2024 12:30
URI:	http://info.submit4journal.com/id/eprint/66

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