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Some formulas for the Bernoulli and Euler polynomials at rational arguments

Published online by Cambridge University Press:  01 July 2000

H. M. SRIVASTAVA
Affiliation:
Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3P4, Canada; e-mail: hmsri@uvvm.uvic.ca

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.

Type
Research Article
Copyright
2000 Cambridge Philosophical Society

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