The Generalized Stirling and Bell Numbers Revisited

نویسندگان

  • Toufik Mansour
  • Matthias Schork
  • Mark Shattuck
چکیده

The generalized Stirling numbers Ss;h(n, k) introduced recently by the authors are shown to be a special case of the three parameter family of generalized Stirling numbers S(n, k;α, β, r) considered by Hsu and Shiue. From this relation, several properties of Ss;h(n, k) and the associated Bell numbers Bs;h(n) and Bell polynomials Bs;h|n(x) are derived. The particular case s = 2 and h = −1 corresponding to the meromorphic Weyl algebra is treated explicitly and its connection to Bessel numbers and Bessel

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تاریخ انتشار 2012