Bilinearity of the Cauchy exponential difference
Tom 72 / 2024
                    
                    
                        Bulletin Polish Acad. Sci. Math. 72 (2024), 131-135                    
                                        
                        MSC: Primary 39B22                    
                                        
                        DOI: 10.4064/ba240731-1-11                    
                                            
                            Opublikowany online: 8 November 2024                        
                                    
                                                Streszczenie
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.