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

2009/12/09 by Ayhan Dil, Dil, Ayhan, Veli Kurt +1
Mathematics · Physics and Astronomy · #11B73 #11B75 #11B83 #Advanced Mathematical Theories #Advanced Mathematical Theories and Applications #Combinatorics (math.CO) #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT) #math.CO #math.NT #msc:11B73 #msc:11B75 #msc:11B83

paper · pdf · doi:10.48550/arxiv.0912.1834

18 pages

openalex publication_date 2009/12/09 · arxiv created 2010/02/03 · arxiv updated 2010/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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