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functional equation
Functional Equation
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
f
(
x + y
)
= f
(
x
)
+ f
(
y
)
.
Exponential Functions
f
(
x + y
)
= f
(
x
)
× f
(
y
)
.
Logarithmic Functions/Additive Functions
f
(
x × y
)
= f
(
x
)
+ f
(
y
)
.
Power Functions/Multiplicative Functions
f
(
x × y
)
= f
(
x
)
× f
(
y
)
.
References
