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Recurrence relations for the Lerch Phi function and applications

Marco Dalai
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Abstract

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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Marco Dalai. 2004-11-04. Recurrence relations for the Lerch Phi function and applications. https://arxiv.org/abs/math/0411087

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