Results 61 to 70 of about 146,061 (197)

Some inequalities for maximum modules of polynomials

International Journal of Mathematics and Mathematical Sciences, 1991
A well-known result of Ankeney and Rivlin states that if p(z) is a polynomial of degree n, such that p(z)≠0 in |z|
N. K. Govil
doaj   +1 more source

Problems with fixpoints of polynomials of polynomials

CoRR
Accepted version at LICS26 taking into account reviewers' comments, plus various fixes and appendices.
Pradic, Cécilia, Price, Ian
openaire   +4 more sources

Generalizations of Chebyshev polynomials and polynomial mappings [PDF]

Transactions of the American Mathematical Society, 2007
In this paper we show how polynomial mappings of degree K \mathfrak {K}
Chen, Yang, Griffin, James, Ismail, Mourad E.H.   +2 more
openaire   +4 more sources

A numerical method for the computation of faber polynomials for starlike domains [PDF]

, 1991
We describe a simple numerical process (based on the Theodorsen method for conformal mapping ) for computing approximations to Faber polynomials for starlike ...
Soares, M J, Stylianopoulos, N S, Papamichael, N   +2 more
core   +4 more sources

A General Approach to Error Analysis for Roots of Polynomial Equations

AppliedMath
We study equations with real polynomials of arbitrary degree, such that each coefficient has a small, individual error; this may originate, for example, from imperfect measuring.
Imme van den Berg, João Carlos Lopes Horta   +1 more
doaj   +1 more source

Cycle-slip detection and correction of GPS single-frequency carrier phase based on wavelet transform and LS-SVM

The Journal of Engineering, 2019
The high-precision positioning of GPS requires to detect and correct the cycle-slips in carrier phase more accurately and efficiently. In order to improve the ability of GPS single-frequency receivers to detect and correct small cycle-slips, the reason ...
Xu Tu, Zhang Lei
doaj   +1 more source

A note on the structure of the zeros of a polynomial and Sendov's conjecture

Cubo, 2023
In this note we prove a result that highlights an interesting connection between the structure of the zeros of a polynomial \(p(z)\) and Sendov's conjecture.
G. M. Sofi, W. M. Shah
doaj   +1 more source

On Chebyshev Polynomials, Fibonacci Polynomials, and Their Derivatives [PDF]

Journal of Applied Mathematics, 2014
We study the relationship of the Chebyshev polynomials, Fibonacci polynomials, and theirrth derivatives. We get the formulas for therth derivatives of Chebyshev polynomials being represented by Chebyshev polynomials and Fibonacci polynomials. At last, we get several identities about the Fibonacci numbers and Lucas numbers.
openaire   +4 more sources

On the Characteristic Polynomial of Linearized Polynomials

CoRR
Let $k$ be a finite field, and $L$ be a $q$-linearized polynomial defined over $k$ of $q$-degree $r$ ($L=\sum^r_{i=0}a_iZ^{q^i}$, with $a_i\in k$). This paper provides an algorithm to compute a characteristic polynomial of $L$ over a large extension field $\mathbb F_{q^n}\supseteq k$.
Luca Bastioni, Giacomo Micheli, Shujun Zhao   +2 more
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Symmetries of Polynomials

Journal of Symbolic Computation, 2000
Let \(Q(x,y) = \sum_{i=0}^n a_ix^i y^{n-i}\) be a binary form of degree~\(n\) with real or complex coefficients \(a_i\). Classical invariant theory deals with the invariants of binary forms under the action of SL\(_2\). The article under review takes a different point of view.
Irina Berchenko, Peter J. Olver
openaire   +1 more source