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Degenerate weighted Stirling numbers

✍ Scribed by F.T Howard

Publisher: Elsevier Science
Year: 1985
Tongue: English
Weight: 631 KB
Volume: 57
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(85)90155-4

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✦ Synopsis

We define the degenerate weighted Stifling numbers of the first and second kinds, Sl(n, k, 2t ] 0) and S(n, k, )t ] O). By specializing h and 0 we can obtain the Stirling numbers, the weighted Stifling numbers and the degenerate Stifling numbers. Basic properties of Sl(n, k, h { 0) and S(n, k, ;t I 0), such as recurrence formulas and combinatorial interpretations, are presented, and a theorem which relates Sx(n, k, )t I O) and S(n, k, h I O) to each other, and to other special numbers, is proved. This theorem provides a unified approach to a number of special cases which have recently appeared in the literature.

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