Some formulas for the Bernoulli and Euler polynomials at rational arguments
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- 1 July 2000
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 129 (1) , 77-84
- https://doi.org/10.1017/s0305004100004412
Abstract
In a recent paper [5], the classical Bernoulli and Euler polynomials were expressed as finite sums involving the Hurwitz zeta function. The object of this sequel is first to give several remarkably shorter proofs of each of these summation formulas. Various generalizations and analogues, which are relevant to the present investigation, are also considered.Keywords
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