Multivariate Stirling polynomials of the first and second kind

@article{Schreiber2015MultivariateSP,
  title={Multivariate Stirling polynomials of the first and second kind},
  author={Alfred Schreiber},
  journal={Discret. Math.},
  year={2015},
  volume={338},
  pages={2462-2484}
}
  • Alfred Schreiber
  • Published 2015
  • Mathematics, Computer Science
  • Discret. Math.
  • Two doubly indexed families of homogeneous and isobaric polynomials in several indeterminates are considered: the (partial) exponential Bell polynomials B n , k and a new family S n , k ? Z X 1 , ? , X n - k + 1 such that X 1 - ( 2 n - 1 ) S n , k and B n , k obey an inversion law which generalizes that of the Stirling numbers of the first and second kind. Both polynomial families appear as Lie coefficients in expansions of certain derivatives of higher order. Substituting D j ( ? ) (the j th… CONTINUE READING

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