Find all differentiable solutions of the equation \(f ( x ) f ( y ) = f ( x + y )\) . Find all continuous solutions of the same equation.
Solutions of the exponential functional equation $f(x)f(y)=f(x+y)$
P-TRIV-RA59
- Area
- Real Analysis
- Status
- draft
P-TRIV-RA59
Find all differentiable solutions of the equation \(f ( x ) f ( y ) = f ( x + y )\) . Find all continuous solutions of the same equation.