Explicit expressions for a family of the Bell polynomials and applications

Feng Qi and Miao-Miao Zheng

Applied Mathematics and Computation, 2015, vol. 258, issue C, 597-607

Abstract: In the paper, the authors first inductively establish explicit formulas for derivatives of the arc sine function, then derive from these explicit formulas explicit expressions for a family of the Bell polynomials of the second kind related to the square function, and finally apply these explicit expressions to find explicit formulas for derivatives of some elementary functions.

Keywords: Explicit formula; Derivative; Bell polynomial; Faá di Bruno formula; Elementary function (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:258:y:2015:i:c:p:597-607

DOI: 10.1016/j.amc.2015.02.027

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