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Results tagged with polynomials
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user 33672
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.
3
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Hermite-Kakeya Theorem for entire functions
In a question asked by Bobby Ocean, the following theorem is cited:
Hermite-Kakeya Theorem(for polynomials) - Given two real-valued polynomials, $f$ and $g$, then $f(x)+g(x) r$ has only real zeros for …
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1
vote
1
answer
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seeking reference on a theorem about sufficient conditions for an entire function with real ...
I am seeking reference(s) on the following theorem about sufficient conditions for an entire function with real coefficients to have only real zeros.
Theorem:
Let $f_n(z)=\sum_0^n a_m z^m$ (with $a_m …
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2
votes
1
answer
252
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a second order difference equation related to a real polynomials which seems to have only re...
Jensen's polynomials associated with Riemann $\xi(z)$ function. … Csordas; Jensen polynomials and the Turan and Laguerre inequalities. Pacific J. Math., 136 (2) (1989), pp. 241–260
Thanks-
Mike …
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11
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3
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Zeros of polynomials related to Jensen polynomial associated with Riemann xi function $\xi(x)$
{31(k+1/2)}=\frac{k+A}{k+B}>1$$
These polynomials showed up when we tried to find a polynomial approximation to Jensen polynomial associated with Riemann $\xi(z)$ function. … Csordas; Jensen polynomials and the Turan and Laguerre inequalities. Pacific J. Math., 136 (2) (1989), pp. 241–260 …
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