Bilinearity of the Cauchy exponential difference
Volume 72 / 2024
Bulletin Polish Acad. Sci. Math. 72 (2024), 131-135
MSC: Primary 39B22
DOI: 10.4064/ba240731-1-11
Published online: 8 November 2024
Abstract
We study the functional equation \begin{equation*} f(x) f(y) -f(x+y) =\alpha xy, \end{equation*} where $\alpha $ is a fixed nonzero real number.
