24 citations · 33 across the 13 of their papers we have counts for
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math.CA2017
Inequalities for the inverses of the polygamma functions
Necdet Batir
We provide an elementary proof of the left side inequality and improve the right inequality in \bigg[\frac{n!}{x-(x^{-1/n}+α)^{-n}}\bigg]^{\frac{1}{n+1}}&<((-1)^{n-1}ψ^{(n)})^{-1}(…
math.CA2017★ 1 cited
Bounds for the gamma function
Necdet Batir
We improve the upper bound of the following inequalities for the gamma function due to H. Alzer and the author. \begin{equation*} \exp\left(-\frac{1}{2}ψ(x+1/3)\right)<\frac{Γ(…
math.NT2017★ 24 cited
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}}{…