Stirling Numbers for Complex Arguments

نویسندگان

  • L. Bruce Richmond
  • Donatella Merlini
چکیده

We define the Stirling numbers for complex values and obtain extensions of certain identities involving these numbers. We also show that the generalization is a natural one for proving unimodality and monotonicity results for these numbers. The definition is based on the Cauchy integral formula and can be used for many other combinatorial numbers.

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عنوان ژورنال:
  • SIAM J. Discrete Math.

دوره 10  شماره 

صفحات  -

تاریخ انتشار 1997