arXiv subjects

V. E. Sándor Szabó

Publications and source records attributed to V. E. Sándor Szabó.

2 recordsLinked to original sources

arXiv2025

Completely and logarithmically completely monotone functions

We simplify the proof of some widely used theoretical theorems, extending their applicability, while correcting some erroneous results. We also generalize key results and present new results that contribute to the development of the theory. Furthermore, we use the results obtained to investigate the monotonicity properties of some specific functions related to the Gamma function. Finally, we formulate an open problem related to the psi function.

math.CA↗

arXiv2022

On the Morley's triangle

We give a complete investigation of Morley's trisector theorem. If the intersections of the half lines starting from the adjacent vertices of a triangle form an equilateral triangle for an arbitrary triangle, then the half lines are the angle trisectors. To derive the result we use elementary trigonometry, Taylor series expansions, and solve systems of polynomial equations step by step. As a byproduct we get a probably new trigonometric identity.

math.HO↗