We prove among others results that the harmonic mean of Γq(ₓ) and Γq(1/ₓ) is greater than or equal to 1 for arbitrary x > 0, and q ∈ J where J is a subset of [0, +∞). Also, we prove that there is a ...

We show that $\[{F_a}\left( x \right) = \frac{{In\Gamma \left( {x + 1} \right)}} {{xIn\left( {ax} \right)}}\]$ can be considered as a Pick function when a ≥ 1, i.e ...