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

Abstract

top
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.

How to cite

top

Benali 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. [1] D. Branson, An extension of Stirling numbers, Fib. Quat. series 34 (3) (1996), 213-223. Zbl0863.11012
  2. [2] L. Comtet, Analyse combinatoire, Vol. I and II, Presses Universitaires de France, Paris 1970. 
  3. [3] S. Roman, The harmonic logarithms and the binomial formula, J. Combin. Theory, Serie A, series 63 (1993), 143-163. Zbl0774.05004

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.