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On n-dimensional Stirling Numbers

Published online by Cambridge University Press:  20 January 2009

Selmo Tauber
Selmo Tauber
Affiliation:
Portland State University, Portland, Oregon
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Stirling numbers of the first and second kind play an important part in many branches of mathematics, in particular in combinatorial analysis and statistics. For their definition and properties we refer to (5) where a whole chapter is devoted to their study. Stirling numbers have been generalized in many ways. One generalization is given in (1). In this paper we generalize the results of (1) to n dimensions. In order to simplify the notation we use methods of linear algebra.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 16 , Issue 4 , December 1969 , pp. 291 - 299
Copyright
Copyright © Edinburgh Mathematical Society 1969

References

REFERENCES

(1) Tauber, S.On Quasi-Orthogonal Numbers, Amer. Math. Monthly, 69 (1962), 365–372.CrossRefGoogle Scholar
(2) Tauber, S.On Multinomial Coefficients, Amer. Math. Monthly, 70 (1963), 1058–1063.CrossRefGoogle Scholar
(3) Tauber, S.Summation Formulae for Multinomial Coefficients, Fibonacci Quarterly, 3 (1965), 95–100.Google Scholar
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(5) Jordan, CH.The Calculus of Finite Differences (Chelsea Publ. Co. N.Y., 1950).Google Scholar
(6) Tauber, S.On Q-Fibonacci Polynomials, Fibonacci Quarterly, 6 (1968), 127–134.Google Scholar