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arxiv: 0912.1834 · v2 · submitted 2009-12-09 · 🧮 math.NT · math.CO

Polynomials Related to Harmonic Numbers and Evaluation of Harmonic Number Series I

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keywords polynomialsharmonicfamiliesgeneralizationsnumbersrelatedseriesclosed
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In this paper we focus on two new families of polynomials which are connected with exponential polynomials and geometric polynomials. We discuss their generalizations and show that these new families of polynomials and their generalizations are useful to obtain closed forms of some series related to harmonic numbers.

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