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

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

2009-12-09

arxiv.org/abs/0912.1834v2

Mathematics

Number Theory

18 pages

Scientific paper

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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