Fibonacci-harmonic sums
Kunle Adegoke, Segun Olofin Akerele, Robert Frontczak
TL;DR
This paper presents new summation identities involving harmonic, odd harmonic, and Fibonacci numbers, derived through multiple mathematical approaches to enhance understanding of these special sequences.
Contribution
It introduces novel summation identities involving harmonic and Fibonacci numbers using partial summation, polynomial identities, and binomial transformations.
Findings
New summation identities involving harmonic and Fibonacci numbers
Derivation of identities using three different mathematical approaches
Enhanced understanding of relationships between harmonic and Fibonacci sequences
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.
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