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Explicit expressions for a family of the Bell polynomials and applications

Author

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  • Qi, Feng
  • Zheng, Miao-Miao

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.

Suggested Citation

  • Qi, Feng & Zheng, Miao-Miao, 2015. "Explicit expressions for a family of the Bell polynomials and applications," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 597-607.
    • Handle: RePEc:eee:apmaco:v:258:y:2015:i:c:p:597-607
    DOI: 10.1016/j.amc.2015.02.027
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    Cited by:

    1. Qi, Feng, 2015. "Derivatives of tangent function and tangent numbers," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 844-858.

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