Functional Equation

Contents

Gamma Function

f (x + 1) = x f (x)

f(s) = 2^a π^{s - 1} sin(π s / 2) Γ(1 - s) f(1 - s).

periodic Functions

f (x + P) = f (x)

Even Functions

Odd Functions

Functional Square Root

Cauchy's Functional Equation

() () ()

Exponential Functions

() () ()

Logarithmic Functions/Additive Functions

() () ()

Power Functions/Multiplicative Functions

() () ()

References