Recurrence relations for the Lerch Phi function and applications

Details Recurrence relations for the Lerch Phi function and applications Recurrence relations for the Lerch Phi function and applications

2004-11-04

arxiv.org/abs/math/0411087v1

Mathematics

Number Theory

11 pages. To appear in ZAA

Scientific paper

In this paper we present a simple method for deriving recurrence relations and we apply it to obtain two equations involving the Lerch Phi function and sums of Bernoulli and Euler polynomials. Connections between these results and those obtained in a paper of H.M. Srivastava, M.L. Glasser and V. Adamchik are pointed out, emphasizing the usefulness of this approach with some meaningful examples.

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