24 citations · 33 across the 13 of their papers we have counts for
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math.AP2023
Logarithmic integrals with applications to BBP and Euler-type sums
Necdet Batir
For real numbers we consider the following family of integrals: \begin{equation*} \int_{0}^{1}\frac{(x^{q-2}+1)\log\left(x^{mq}+1\right)}{x^q+1}{\rm d}x \quad \mbox{and}\qu…
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.NT2023★ 1 cited
Four types of variant Euler harmonic sums
Necdet Batir, Junesang Choi
We aim to investigate the four types of variant Euler harmonic sums. Also, as corollaries, we provide particular examples of our core findings, some of whose further instances are…