Results 1 to 10 of about 327 (52)
On the Zeros of Polynomials with Restricted Coefficients
Annales Mathematicae Silesianae, 2023 Let P(z)=∑j=0najzjP\left( z \right) = \sum\nolimits_{j = 0}^n {{a_j}{z^j}} be a polynomial of degree n such that an ≥ an−1 ≥ . . . ≥ a1 ≥ a0 ≥ 0. Then according to Eneström-Kakeya theorem all the zeros of P (z) lie in |z| ≤ 1.
Zargar B. A., Gulzar M. H., Ali M.
doaj +1 more source
Bernstein-Walsh type inequalities for derivatives of algebraic polynomials in quasidisks
Open Mathematics, 2021 In this paper, we study Bernstein-Walsh type estimates for the higher-order derivatives of an arbitrary algebraic polynomial on quasidisks.
Abdullayev Fahreddin G.
doaj +1 more source
On fixed point theorem in complete quasi-metric space under F-contraction mapping
Tikrit Journal of Pure Science, 2019 In this paper, a fixed point theorem under F-contraction mapping was considered and proved in complete quasi-metric space. This theorem was considered by Piri and Kumam in [1].
Rifaat Saad Abdul-Jabbar
doaj +1 more source
Corrigendum to "The holomorphic flow of the Riemann Zeta function" [PDF]
, 2007 Theorem 4.5 of [2], describing the topological type of the zeros of the flow s˙ = ζ(s) at reflected points off the critical line, claiming they were the same, contains an error.
Barnett, A. Ross, Broughan, Kevin A.
core +2 more sources
The holomorphic flow of the Riemann zeta function [PDF]
, 2003 The flow of the Riemann zeta function, ś = ς(s), is considered, and phase portraits are presented. Attention is given to the characterization of the flow lines in the neighborhood of the first 500 zeros on the critical line.
Barnett, A. Ross, Broughan, Kevin A.
core +2 more sources
SPECIAL CURVES AND POSTCRITICALLY FINITE POLYNOMIALS
Forum of Mathematics, Pi, 2013 We study the postcritically finite maps within the moduli space of complex polynomial dynamical systems. We characterize rational curves in the moduli space containing an infinite number of postcritically finite maps, in terms of critical orbit relations,
MATTHEW BAKER, LAURA DE MARCO
doaj +1 more source
A Cayley-Hamiltonian Theorem for Periodic Finite Band Matrices [PDF]
, 2017 Let K be a doubly infinite, self-adjoint matrix which is finite band (i.e. K_(jk) = 0 if |j – k| > m) and periodic (K S^n = S^n K for some n where (Su)_j = u_(j+1)) and non-degenerate (i.e. K_(jj+m) ≠ = 0 for all j). Then, there is a polynomial, p(x, y),
Simon, Barry
core +1 more source
Some inequalities for rational function with prescribed poles and restricted zeros
Demonstratio MathematicaIn this article, we first prove some auxiliary results in the form of lemmas using an improved Schwarz lemma at the boundary recently proved by Mercer. Furthermore, we establish some new inequalities for rational functions on the unit disk in the complex
Soraisam Robinson +2 more
doaj +1 more source
Computation of the zeros of a quaternionic polynomial using matrix methods
Arab Journal of Basic and Applied SciencesIn a recent paper, Ishfaq Dar (2024), worked on the problem of locating the zeros of quaternion polynomials by introducing various matrix techniques.
N. A. Rather +4 more
doaj +1 more source
Letter to the Editor. Remarks on Some Inequalities for Polynomials [PDF]
, 2013 MSC 2010: 30A10, 30C10, 30C80, 30D15, 41A17.In the present article, I point out serious errors in a paper published in Mathematica Balkanica three years ago. These errors seem to go unnoticed because some mathematicians are applying the results stated in
Hachani, M. A.
core