Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4624059 | Journal of Mathematical Analysis and Applications | 2006 | 10 Pages |
Abstract
A multiplication theorem for the Lerch zeta function ϕ(s,a,ξ) is obtained, from which, when evaluating at s=−n for integers n⩾0, explicit representations for the Bernoulli and Euler polynomials are derived in terms of two arrays of polynomials related to the classical Stirling and Eulerian numbers. As consequences, explicit formulas for some special values of the Bernoulli and Euler polynomials are given.
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