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IFYM Int. Fest. of Young Mathematicians, Sozopol
2013 IFYM, Sozopol
5
Polynomial equation
Polynomial equation
Source:
March 17, 2016
functional equation
polynomial
Functional Equations
algebra
Problem Statement
Find all polynomilals
P
P
P
with real coefficients, such that
(
x
+
1
)
P
(
x
−
1
)
+
(
x
−
1
)
P
(
x
+
1
)
=
2
x
P
(
x
)
(x+1)P(x-1)+(x-1)P(x+1)=2xP(x)
(
x
+
1
)
P
(
x
−
1
)
+
(
x
−
1
)
P
(
x
+
1
)
=
2
x
P
(
x
)
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