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

2010/02/03 by Ayhan Dil, Dil, Ayhan, Veli Kurt +1 · 2 citations
Mathematics · #11B73 #11B75 #11B83 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #math.CO #math.NT #msc:11B73 #msc:11B75 #msc:11B83

paper · pdf · doi:10.48550/arxiv.1002.0862

23 pages

arxiv created 2010/02/03 · arxiv updated 2010/02/26

Abstract

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.

Cited by

• Harmonic Geometric Polynomials via Geometric Polynomials and Their Applications
• Partial Deranged Bell Numbers and Their Combinatorial Properties

Related

• Polynomials Related to Harmonic Numbers and Evaluation of Harmonic Number Series I
• Series with Hermite Polynomials and Harmonic Numbers
• Harmonic Geometric Polynomials via Geometric Polynomials and Their Applications
• Some Harmonic Number Identities involving certain Reciprocals
• New harmonic number series