Summary.
Two functional equations, introduced by J. Wesołowski [8] related to an independence property for beta distributions, are investigated without any regularity conditions. The measurable solutions of equation (3) satisfied almost everywhere are also given.
Similar content being viewed by others
Author information
Authors and Affiliations
Corresponding author
Additional information
Manuscript received: October 10, 2007 and, in final form, August 26, 2008.
Rights and permissions
About this article
Cite this article
Lajkó, K., Mészáros, F. Functional equations arisen from the characterization of beta distributions. Aequat. Math. 78, 87 (2009). https://doi.org/10.1007/s00010-009-2957-y
DOI: https://doi.org/10.1007/s00010-009-2957-y