Asymptotic Expansions Related to the Wallis Ratio Based on the Bell Polynomials
Asian Research Journal of Mathematics · pp. 342–350 · Published 27 Oct 2022
10.9734/arjom/2022/v18i11608Abstract
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].
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