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Putnam
1959 Putnam
A3
A3
Part of
1959 Putnam
Problems
(1)
Putnam 1959 A3
Source: Putnam 1959
6/15/2022
Find all complex-valued functions
f
f
f
of a complex variable such that
f
(
z
)
+
z
f
(
1
−
z
)
=
1
+
z
f(z)+zf(1-z)=1+z
f
(
z
)
+
z
f
(
1
−
z
)
=
1
+
z
for all
z
∈
C
z\in \mathbb{C}
z
∈
C
.
Putnam
function
functional equation
complex