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Land Use Shapes Ant Communities: Functional and Compositional Differences Between Oak Forests and Chestnut Orchards in Mediterranean Mountain Landscapes of Northern Portugal. [PDF]

Insects
Lourenço-Lima C, Gonçalves F, Villa M.
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On the Location of Zeros of Polynomials

Complex Analysis and Operator Theory, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kumar, Prasanna, Dhankhar, Ritu
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On the Complexity of Polynomial Zeros

SIAM Journal on Computing, 1992
An algorithm for simultaneous approximation of all zeros of a polynomial introduced by Householder is considered. A modification suitable for parallel computation is proposed. The root-finding problem for a polynomial of degree \(n\), having zeros \(z_ i\), \(i=1,\dots,n\) is \(NC\)- reduced to finding a polynomial \(\alpha(z)\) such that \(| \alpha(z_{
BINI, DARIO ANDREA, GEMIGNANI, LUCA
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On the Location of Zeros of Polynomials

Canadian Mathematical Bulletin, 1967
The different results proved in this paper do not have very much in common. Since they all deal with the location of the zeros of a polynomial, we have decided to put them in one place. Improving upon a classical result of Cauchy we obtain in § 2 a circle containing all the zeros of a polynomial.
Joyal, A., Labelle, G., Rahman, Q. I.
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The Zeros of the Hahn Polynomials

SIAM Review, 1967
x = 0, 1, * , n 1. From this it follows when a, d> -1 that, if y is an integer > mn, the zeros of Pm(` 7)(x) are real and simple and lie in the open interval (0, y 1). In the present paper this conclusion is extended to all real -y > mn and also to 7y < -(im + ae + d) with (d + -y, -a 1) as the interval containing the zeros in the latter case.
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PARTITION POLYNOMIALS AND THEIR ZEROS

Analysis, 2001
Define \(\omega(k):=(3k^2-k)/2\). The main object of study in this paper are the \textit{partition polynomials} \[ \mathcal P_n(x):=x^{\omega(n)}+\sum_{k=1}^{n-1}(-1)^k \left[x^{\omega(n)-\omega(k)}+x^{\omega(n)-\omega(-k)}\right]+(-1)^n \] (the name arises from the fact that these are the characteristic polynomials which arise from Euler's recurrence ...
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Estimates of Zeros of a Polynomial

Mathematical Proceedings of the Cambridge Philosophical Society, 1962
Throughout this note we shall consider a fixed polynomial with complex coefficients and of degree n ≥ 2. Its zeros will be denoted by ξ1, ξ2, …, ξn where the numbering is such that Making use of Jensen's integral formula, Mahler (4) showed that, for l ≥ k < n, A slightly weaker result had been established by Feldman in an earlier publication (2).
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On Zeros of Interpolating Polynomials

SIAM Journal on Mathematical Analysis, 1986
Polynomials to be used in interpolation of digital signals are called interpolating polynomials. They may require modification to assure convergence of their reciprocals on the unit circle. This paper concerns discrete time windowing, which consists of scaled truncation of a series such as \[ P_ N(z)\quad \triangleq \quad 1+\sum^{\infty}_{m=1}(z^ m+z^{-
Barnard, Roger W., Ford, Wayne T., Wang, Hsing Y.   +2 more
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On Zeros of Derivatives of Polynomials

Canadian Mathematical Bulletin, 1968
In an earlier paper [2], we raised the question of determining the minimum span of the kth derivative of a polynomial with real zeros having a given span. More precisely let πn, s denote the class of polynomials , with x1 ≤ x2 ≤ … ≤ xn, and the span σ(P) ≡xn - x1 = 2s (fixed).
Meir, A., Sharma, A.
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On Polynomials with Real Zeros

Canadian Mathematical Bulletin, 1968
Letbe a polynomial of degree n with real and non-negative zeros x1 ≤ x2 ≤ … xn. The zeros xj. will be said to have extent 1 ifLet ξ1 ≤ ξ2 ≤ … ξn-1 be the zeros of the derived polynomial p'(x). The zeros ξ1, ξ2, …, ξn-1 are real and non-negative, and moreover their extent can be at most equal to the extent of the zeros x1, x2, …, xn.
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