Applicable Analysis and Discrete Mathematics 2011 Volume 5, Issue 2, Pages: 212-229
https://doi.org/10.2298/AADM110615015D
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Polynomials related to harmonic numbers and evaluation of harmonic number series II
Dil Ayhan (Akdeniz University, Department of Mathematics, Antalya, Turkey)
Kurt Veli (Akdeniz University, Department of Mathematics, Antalya, Turkey)
In this paper we focus on r-geometric polynomials, r-exponential polynomials
and their harmonic versions. It is shown that harmonic versions of these
polynomials and their generalizations are useful to obtain closed forms of
some series related to harmonic numbers. 2000 Mathematics Subject
Classification. 11B73, 11B75, 11B83.
Keywords: exponential numbers and polynomials, geometric numbers and polynomials, Stirling numbers, harmonic and hyperharmonic numbers