Extension of classical sequences to negative integers

• Autorzy: Benali Benzaghou , Daniel Barsky
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Stirling numbers; Bell polynomials

Kategorie tematyczne

• 11B73: Bell and Stirling numbers

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2006
• Tom: 26
• Numer: 1
• Strony: 75-83

Daty

wydano

2006

otrzymano

2004

poprawiono

2005-12

Twórcy

autor

Benali Benzaghou

• Faculté de Mathématiques, USTHB BP 32 El-Alia, 16111 Bab-Ezzouar, Alger

autor

Daniel Barsky

• Université Paris 13, Institut Galilée, LAGA UMR 7539, 99 Av. J.-B.Clément, 93430 Villetaneuse, France

Bibliografia

• [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.

Identyfikatory

DOI

10.7151/dmgaa.1105