The .NET library (formerly called .NET Core) doesn't have built-in functions for classical statistics analyses. But it is possible to implement such functions from scratch. This article presents C# ...

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 ...

Special functions occupy a central role in mathematical analysis, bridging pure theory and practical application across diverse scientific fields. Their intrinsic properties—such as recurrence ...

In this paper, some monotoneity and concavity properties of the gamma, beta and psi functions are obtained, from which several asymptotically sharp inequalities ...