Geodesic
Extension of classical sequences to negative integers
Discussiones Mathematicae. General Algebra and Applications, Tome 26 (2006) no. 1, pp. 75-83

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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: Stirling numbers, Bell polynomials 
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Benzaghou, Benali; Barsky, Daniel. Extension of classical sequences to negative integers. Discussiones Mathematicae. General Algebra and Applications, Tome 26 (2006) no. 1, pp. 75-83. http://geodesic.mathdoc.fr/item/DMGAA_2006_26_1_a3/