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1962 Swedish Mathematical Competition
1
polynomial f(2x) = f'(x) f''(x)
polynomial f(2x) = f'(x) f''(x)
Source: 1962 Swedish Mathematical Competition p1
March 21, 2021
algebra
polynomial
Problem Statement
Find all polynomials
f
(
x
)
f(x)
f
(
x
)
such that
f
(
2
x
)
=
f
′
(
x
)
f
′
′
(
x
)
f(2x) = f'(x) f''(x)
f
(
2
x
)
=
f
′
(
x
)
f
′′
(
x
)
.
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