Geodesic
A note on a theorem of Schumacher
Journal of integer sequences, Tome 19 (2016) no. 8.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper, we give a short new proof of a recent result due to Schumacher concerning an extension of Faulhaber's identity for the Bernoulli numbers. Our approach follows from basic manipulations involving the ordinary generating function for the Bernoulli polynomials in the context of the Zeon algebra.
Classification : 11B68, 33B10, 05A15, 05A19
Keywords: zeon algebra, Berezin integration, Bernoulli number, generating function, faulhaber's formula 
@article{JIS_2016__19_8_a2,
     author = {Neto, Ant\^onio Francisco},
     title = {A note on a theorem of {Schumacher}},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {19},
     number = {8},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2016__19_8_a2/}
}
TY  - JOUR
AU  - Neto, Antônio Francisco
TI  - A note on a theorem of Schumacher
JO  - Journal of integer sequences
PY  - 2016
VL  - 19
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JIS_2016__19_8_a2/
LA  - en
ID  - JIS_2016__19_8_a2
ER  - 
%0 Journal Article
%A Neto, Antônio Francisco
%T A note on a theorem of Schumacher
%J Journal of integer sequences
%D 2016
%V 19
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JIS_2016__19_8_a2/
%G en
%F JIS_2016__19_8_a2
Neto, Antônio Francisco. A note on a theorem of Schumacher. Journal of integer sequences, Tome 19 (2016) no. 8. http://geodesic.mathdoc.fr/item/JIS_2016__19_8_a2/