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Results tagged with polynomials
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user 56553
Questions in which polynomials (single or several variables) play a key role. It is typically important that this tag is combined with other tags; polynomials appear in very different contexts. Please, use at least one of the top-level tags, such as nt.number-theory, co.combinatorics, ac.commutative-algebra, in addition to it. Also, note the more specific tags for some special types of polynomials, e.g., orthogonal-polynomials, symmetric-polynomials.
8
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On entire functions with real and simple zeros
Next, let $\{p_{n}\}_{n\geq1}$ be a sequence of polynomials (with increasing degree) approximating $f$. … Assume that we have the sequence of polynomials $p_{n}$ as above, so the limits in $(*)$ hold, but we have no limit function $f$. The sequence $\{p_{n}\}$ is not necessarily convergent. …
- 2,188
9
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3
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An explicit representation for polynomials generated by a power of $x/\sin(x)$
$$
are polynomials in $n$ of degree $k$. … .$$
Question: Is there an explicit formula for the coefficients of polynomials $d_{k}(n)$?
Remark: I am aware of their connection with the Bernoulli polynomials of higher order $B_{n}^{(a)}(x)$. …
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