Explicit expressions for a family of the Bell polynomials and applications

Autor:	Feng Qi, Miao-Miao Zheng
Rok vydání:	2015
Předmět:	Algebra Computational Mathematics Applied Mathematics Elementary function Inverse trigonometric functions Function (mathematics) Bell polynomials Mathematics
Zdroj:	Applied Mathematics and Computation. 258:597-607
ISSN:	0096-3003
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::411acde3ebe75667ac6ec72e754efb5e https://doi.org/10.1016/j.amc.2015.02.027 Zobrazit plný text záznamu Full Text from ScienceDirect