On a generalized conjecture by Alzer and Matkowski
Classical Analysis and ODEs
2024-12-31 v2
Abstract
We study a recent conjecture proposed by Horst Alzer and Janusz Matkowski concerning a bilinearity property of the Cauchy exponential difference for real-to-real functions. The original conjecture was affirmatively resolved by Tomasz Ma\l{}olepszy. We deal with generalizations for real or complex mappings acting on a linear space.
Keywords
Cite
@article{arxiv.2412.14756,
title = {On a generalized conjecture by Alzer and Matkowski},
author = {Włodzimierz Fechner and Marta Pierzchałka and Gabriela Smejda},
journal= {arXiv preprint arXiv:2412.14756},
year = {2024}
}