# Extension of classical sequences to negative integers

Benali Benzaghou; Daniel Barsky

Discussiones Mathematicae - General Algebra and Applications (2006)

- Volume: 26, Issue: 1, page 75-83
- ISSN: 1509-9415

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topBenali Benzaghou, and Daniel Barsky. "Extension of classical sequences to negative integers." Discussiones Mathematicae - General Algebra and Applications 26.1 (2006): 75-83. <http://eudml.org/doc/276831>.

@article{BenaliBenzaghou2006,

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.},

author = {Benali Benzaghou, Daniel Barsky},

journal = {Discussiones Mathematicae - General Algebra and Applications},

keywords = {Stirling numbers; Bell polynomials; Bell numbers; generating functions},

language = {eng},

number = {1},

pages = {75-83},

title = {Extension of classical sequences to negative integers},

url = {http://eudml.org/doc/276831},

volume = {26},

year = {2006},

}

TY - JOUR

AU - Benali Benzaghou

AU - Daniel Barsky

TI - Extension of classical sequences to negative integers

JO - Discussiones Mathematicae - General Algebra and Applications

PY - 2006

VL - 26

IS - 1

SP - 75

EP - 83

AB - 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.

LA - eng

KW - Stirling numbers; Bell polynomials; Bell numbers; generating functions

UR - http://eudml.org/doc/276831

ER -

## References

top- [1] D. Branson, An extension of Stirling numbers, Fib. Quat. series 34 (3) (1996), 213-223. Zbl0863.11012
- [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. Zbl0774.05004

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