Polynomial Functional Equation $P(x^2)=P(x)P(x+1)$
- Anindya Biswas
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Find all polynomials $P(x)$ with real coefficients such that, \[P(x^2)=P(x)P(x+1)\] for all real $x$.
"If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is."
— John von Neumann
— John von Neumann
Re: Polynomial Functional Equation $P(x^2)=P(x)P(x+1)$
$P(x)=x(x-1)^R$