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Type: Article
A generating function for a class of generalized Bernoulli polynomials
Abstract:
First we derive a generating function and a Fourier expansion for a class of generalized Bernoulli polynomials. Then we derive formulas that allow certain Dirichlet series to be evaluated in terms of these generalized Bernoulli polynomials.
First we derive a generating function and a Fourier expansion for a class of generalized Bernoulli polynomials. Then we derive formulas that allow certain Dirichlet series to be evaluated in terms of these generalized Bernoulli polynomials.
Keywords: Bernoulli polynomials; Dirichlet series; Fourier series
MSC: 11M41 (11B68 11M06 11Y60)
Journal: Ramanujan Journal
ISSN: 1382-4090
Year: 2009
Volume: 19
Number: 1
Pages: 9--18



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