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ArticleOriginal scientific text

Title

Extension of classical sequences to negative integers

Authors 1, 2

Affiliations

  1. Faculté de Mathématiques, USTHB BP 32 El-Alia, 16111 Bab-Ezzouar, Alger
  2. Université Paris 13, Institut Galilée, LAGA UMR 7539, 99 Av. J.-B.Clément, 93430 Villetaneuse, France

Abstract

We give a method to extend Bell exponential polynomials to negative indices. This generalizes many results of this type such as the extension to negative indices of Stirling numbers or of Bernoulli numbers.

Keywords

ENG
Stirling numbers, Bell polynomials

Bibliography

  1. D. Branson, An extension of Stirling numbers, Fib. Quat. series 34 (3) (1996), 213-223.
  2. L. Comtet, Analyse combinatoire, Vol. I and II, Presses Universitaires de France, Paris 1970.
  3. S. Roman, The harmonic logarithms and the binomial formula, J. Combin. Theory, Serie A, series 63 (1993), 143-163.
Discussiones Mathematicae - General Algebra and Applications
2006/26/1
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Pages:
75-83
Main language of publication
English
Received
2004
Accepted
2005-12
Published
2006

DOI: 10.7151/dmgaa.1105

Exact and natural sciences