Journal of Integer Sequences, Vol. 19 (2016), Article 16.1.8

Carlitz-Type and Other Bernoulli Identities

Claudio de J. Pita Ruiz V.
Universidad Panamericana
Mexico City


By using an explicit formula for Bernoulli polynomials we obtained in a recent work (in which Bn(x) is written as a linear combination of the polynomials (x - r)n, r = 1, ... , K + 1, where Kn), 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.

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Received June 8 2015; revised version received December 23 2015. Published in Journal of Integer Sequences, January 7 2016.

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