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math.CO2023
On some Binomial Coefficient Identities with Applications
Necdet Batir, Sezer Sorgunand Sevda Atpinar
We present a different proof of the following identity due to Munarini, which generalizes a curious binomial identity of Simons. \begin{align*} \sum_{k=0}^{n}\binomα{n-k}\binom{β+k…
math.CO2018★ 6 cited
Combinatorial identities involving harmonic numbers
Necdet Batir
In this work we prove a new combinatorial identity and applying it we establish many finite harmonic sum identities. Among many others, we prove that \begin{equation*} \sum_{k=1}^{…