Geodesic
Carlitz-type and other Bernoulli identities
Journal of integer sequences, Tome 19 (2016) no. 1.

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

Summary: By using an explicit formula for Bernoulli polynomials we obtained in a recent work (in which $B_{n}(x)$ is written as a linear combination of the polynomials (x - r)$^{n}, r = 1, \dots , K + 1$, where $K$ ≥ $n$), it is possible to obtain Bernoulli polynomial identities from polynomial-combinatorial identities. Using this approach, we obtain some generalizations and new demonstrations of the 1971 Carlitz identity involving Bernoulli numbers, and we also obtain some new identities involving Bernoulli polynomials.
Classification : 11B68, 05A10
Keywords: Bernoulli number, Bernoulli polynomial, Bernoulli identity 
@article{JIS_2016__19_1_a5,
     author = {de J.Pita Ruiz V., Claudio},
     title = {Carlitz-type and other {Bernoulli} identities},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {19},
     number = {1},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2016__19_1_a5/}
}
TY  - JOUR
AU  - de J.Pita Ruiz V., Claudio
TI  - Carlitz-type and other Bernoulli identities
JO  - Journal of integer sequences
PY  - 2016
VL  - 19
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JIS_2016__19_1_a5/
LA  - en
ID  - JIS_2016__19_1_a5
ER  - 
%0 Journal Article
%A de J.Pita Ruiz V., Claudio
%T Carlitz-type and other Bernoulli identities
%J Journal of integer sequences
%D 2016
%V 19
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JIS_2016__19_1_a5/
%G en
%F JIS_2016__19_1_a5
de J.Pita Ruiz V., Claudio. Carlitz-type and other Bernoulli identities. Journal of integer sequences, Tome 19 (2016) no. 1. http://geodesic.mathdoc.fr/item/JIS_2016__19_1_a5/