Fibonacci-harmonic sums

We offer several new summation identities involving harmonic numbers, odd harmonic numbers, and Fibonacci numbers. Our results are derived using three different approaches: partial summation, polynomial identities and binomial transformation.

Publication Details

Journal
ArXiv.org
Published
2025-07-12
Primary Topic
Syntax, Semantics, Linguistic Variation
Type
article
Field-Weighted Citation Impact
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article

Fibonacci-harmonic sums

ArXiv.org
Syntax, Semantics, Linguistic Variation
article

Fibonacci-harmonic sums

article en

Abstract

We offer several new summation identities involving harmonic numbers, odd harmonic numbers, and Fibonacci numbers. Our results are derived using three different approaches: partial summation, polynomial identities and binomial transformation.

ArXiv.org
Openalex Percentile: Top 38%
Syntax, Semantics, Linguistic Variation
Open Access PDFOpenAlex
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Fibonacci-harmonic sums · ArXiv.org (2025) | TGRS Research Map | TGRS