Some asymptotic formulae given elsewhere for the zeros of the incomplete gamma function γ(a, x) are corrected. A plot of a few of the zero trajectories of the function γ(xw, x) is given, where x is a ...

A new asymptotic expansion is derived for the incomplete beta function I(a, b, x), which is suitable for large a, small b and $x > 0.5$. This expansion is of the form ...

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# ...

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 ...