Some notes on an identity of Frisch

2024/05/14 by Adegoke, Kunle, Frontczak, Robert · 3 citations
#05A10 #11B65 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2405.10978

Abstract

In this note, we show how a combinatorial identity of Frisch can be applied to prove and generalize some well-known identities involving harmonic numbers. We also present some combinatorial identities involving odd harmonic numbers which can be inferred straightforwardly from our results.

Cited by

• Double sums associated with binomial transforms
• Double sums involving binomial coefficients and special numbers
• New Polynomial Identities and Some Consequences

Related

• Some Combinatorial Identities some of which involving Harmonic Numbers
• Generalized Harmonic Numbers: Identities and Properties
• Some Harmonic Number Identities involving certain Reciprocals
• New Polynomial Identities and Some Consequences
• Combinatorial identities with multiple harmonic-like numbers