24 citations · 33 across the 13 of their papers we have counts for
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math.CA2018★ 1 cited
Inequalities involving the gamma and digamma functions
Necdet Batir
We improve the upper bounds of the following inequalities proved in [H. Alzer and N. Batir, Monotonicity properties of the gamma function, Appl. Math. Letters, 20(2007), 778-781].…
math.CA2018
Sharp inequalities related with Burnside's formula
Necdet Batir
We prove the following double inequality related with Burnside's formula for \begin{equation*} \sqrt{2π}\left(\frac{n+a_*}{e}\right)^{n+a_*}<n!<\sqrt{2π}\left(\frac{n+a^*}{e}\…
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}^{…