Bell Coefficients Calculation

Description

This function calculates Bell coefficients as described on p.134–139 of Comtet (1974) for calculating high order derivative of composite function f(g(x)) wrt x, say.

Usage

  Bell(n)

Arguments

Details

Bell calls the functions in package partititions, see http://cran.r-project.org/web/packages/partitions/partitions.pdf.

Note

Combinatorial computation intensifies as n increases.

Author(s)

Thanh T. Tran frmqa.package@gmail.com

References

Comtet, L (1974) Advanced combinatorics: The art of finite and infinite expansions. Boston: D. Reidel Pub.

Hankin, R.K.S (2006) Additive integer partitions in R. Journal of Statistical Software, Code Snippets, 16.

Tran, T. T., Yee, W.T. and Tee, J.G (2012) Formulae for the Extended Laplace Integral and Their Statistical Applications. Working Paper.

See Also

derivErfc

Examples

  Bell(5)

Results