Carlitz-Type and Other Bernoulli Identities
Claudio de J. Pita Ruiz V.
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 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.
Full version: pdf,
Received June 8 2015; revised version received December 23 2015.
Published in Journal of Integer Sequences, January 7 2016.
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