The D-Stirling Numbers
نویسنده
چکیده
Abstract In this paper, we introduce a kind of combinatorial numbers, D − Stirling numbers, and its special cases. An exponential generating function of the D − Stirling numbers is given. We also present recurrence relations, monotonicity, and limiting properties of the D−Stirling numbers. Applications to statistical probability function estimation and restricted occupancy theory are provided. Selected cases of these D − Stirling numbers are also tabulated in the Appendixes.
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