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National and Regional Contests
PEN Problems
PEN K Problems
17
17
Part of
PEN K Problems
Problems
(1)
K 17
Source:
5/25/2007
Find all functions
h
:
Z
→
Z
h: \mathbb{Z}\to \mathbb{Z}
h
:
Z
→
Z
such that for all
x
,
y
∈
Z
x,y\in \mathbb{Z}
x
,
y
∈
Z
:
h
(
x
+
y
)
+
h
(
x
y
)
=
h
(
x
)
h
(
y
)
+
1.
h(x+y)+h(xy)=h(x)h(y)+1.
h
(
x
+
y
)
+
h
(
x
y
)
=
h
(
x
)
h
(
y
)
+
1.
function
Functional Equations