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Results tagged with legendre-polynomials
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user 7402
6
votes
Accepted
Convergence of the series of Legendre polynomials
The answer is yes. By a theorem of Fatou
Theorem [Fatou]
If $a_n\to0$ and the function $f(z)=\sum_{n=0}^\infty a_nz^n$ is analytic at
the point $z=1$, then the series $\sum_{n=0}^\infty a_n$ converg …
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