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Results tagged with symmetric-polynomials
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user 81295
6
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Examples of specializations of elementary symmetric polynomials
The specialization $\mathcal{S} = \{1, -1, \frac12, -\frac12, \frac13, -\frac13, \ldots \}$, in the limit $n\to \infty$, produces the Weierstrass factorization
$$ \frac{\sin \pi z}{\pi z} = \prod_{n\ …
- 2,175
4
votes
Examples of specializations of elementary symmetric polynomials
Under the specialization $\mathcal{S} = \{1, \frac12, \frac13, \ldots, \frac1n \}$, the corresponding products to not converge to a limit as $n\to\infty$ since the harmonic series diverges.
However, i …
- 2,175