I have been able to show with help of induction that $\cos(n*\arccos(x))$ indeed is a polynomial, but I also want to know the coefficient ahead of the greatest term, the answer is $2^n$, but I cannot figure out why this is the case.
$\ D_f\ = [-1,1]$ and $n\in N$.
Whenever I check the tag stochastic-pde, like 9 out of the last 10 questions has no stochastic PDE in it. There is even the warning in the information:
Please do not use this tag just because there are stochastic processes and differential equations in your question. Consider if [tag: SDE] is a ...
I check the tag stochastic-pde occasionally and always like 9 out of the last 10 posts have no stochastic PDE in them. I comment and suggest an edit to remove the tag. The tag has the following warning:
Please do not use this tag just because there are stochastic processes and differential equat...
I have been able to show with help of induction that $\cos(n*\arccos(x))$ indeed is a polynomial, but I also want to know the coefficient ahead of the greatest term, the answer is $2^n$, but I cannot figure out why this is the case.
$\ D_f\ = [-1,1]$ and $n\in N$.
