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Results tagged with legendre-polynomials
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user 36721
3
votes
Maximum of the Vandermonde determinant / minimum of the logarithmic energy
I would like to provide some details on the answers by ofer zeitouni and Noam D. Elkies.
By Selberg's formula, as presented in the answer by ofer zeitouni, one easily finds
$$(1)\qquad M_n=\lim_{\beta …
- 128k
1
vote
Properties of a function $C_\ell(\ell)$ which checks an inequality in ideal case (decreasing...
It is not enough to assume that $Y=C_l$ is decreasing in $l$.
Indeed, if your inequality were true for all such $Y$, then its non-strict version would be true for all constant $Y$, say for $Y=1$ for a …
- 128k