24 citations · 33 across the 13 of their papers we have counts for
4 papers · 1 filter
On three classes of logarithmic integrals
Necdet Batır, Nandan Sai Dasireddy
In this paper, we evaluate the following families of definite integrals in closed form and we show that they are expressible only in terms of the dilogarithm function and the inver…
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…
Parametric binomial sums involving harmonic numbers
Necdet Batir
We present explicit formulas for the following family of parametric binomial sums involving harmonic numbers for and . $$ \sum_{k=1}^{\infty}\frac{H_{k-1}t^k}{k…
On some combinatorial identities and harmonic sums
Necdet Batir
For any we first give new proofs for the following well known combinatorial identities \begin{equation*} S_n(m)=\sum\limits_{k=1}^n\binom{n}{k}\frac{(-1)^{k-1}}{…