Inhomogeneous Cauchy exponential functional equations
Copyright policy )Inhomogeneous Cauchy exponential functional equations
Summary: We show that equations of the form \(f(x)f(y)-f(x+y)=\Gamma (x,y)\), termed here inhomogeneous Cauchy exponential functional equations, can be solved quite easily. Furthermore, their solutions are almost always unique. Both of these results contrast starkly with the situation for the inhomogeneous Cauchy additive functional equation \(f(x)+f(y)-f(x+y)=\Gamma (x,y)\).
- Mississippi Valley State University United States
inhomogeneous, Functional equations for real functions, Cauchy exponential functional equations, Cauchy additive functional equation, characterization, Functional equations for complex functions
inhomogeneous, Functional equations for real functions, Cauchy exponential functional equations, Cauchy additive functional equation, characterization, Functional equations for complex functions
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