Homogeneous Beta-type functions
Classical Analysis and ODEs
2016-03-08 v1
Abstract
All beta-type functions, which are p-homogeneous, are determined. Applying this result, we show that a beta-type function is a homogeneous mean iff it is the harmonic one. A reformulation of a result due to Heuvers in terms of a Cauchy difference and the harmonic mean is given.
Cite
@article{arxiv.1603.02086,
title = {Homogeneous Beta-type functions},
author = {Martin Himmel and Janusz Matkowski},
journal= {arXiv preprint arXiv:1603.02086},
year = {2016}
}