Results 1 to 10 of about 49 (49)

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.
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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.
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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
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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
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Notes on Erdös-Lax and Turán-type polynomial inequalities

Demonstratio Mathematica
In this study, we investigate several well-established Erdös-Lax and Turán-type inequalities that connect the sup-norms of a univariate polynomial with complex coefficients and its ordinary derivative in the complex plane to those concerning the polar ...
Singh Mayanglambam Singhajit, Chanam Barchand   +1 more
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Some inequalities for rational function with prescribed poles and restricted zeros

Demonstratio Mathematica
In 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, Devi Khangembam Babina, Chanam Barchand   +2 more
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Sharper upper bounds on maximum modulus for rational functions

Demonstratio Mathematica
We study upper bounds for rational functions r(z)=p(z)w(z) $r\left(z\right)=\frac{p\left(z\right)}{w\left(z\right)}$ , where w(z)=∏j=1n(z−λj),|λj|>1, $w\left(z\right)={\prod }_{j=1}^{n}\left(z-{\lambda }_{j}\right), \vert {\lambda }_{j}\vert { >}1,$ and
Thoudam Ranaranjan, Soraisam Robinson, Chanam Barchand   +2 more
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Shapiro’s problem on polynomials with large partial sums of coefficients

Forum of Mathematics, Sigma
Given a polynomial $\sum _\nu a_\nu X^\nu $ of degree $
Marc Technau
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Integral mean estimates of Turán-type inequalities for the polar derivative of a polynomial with restricted zeros

Open Mathematics
In this article, we extend inequalities concerning the polar derivative of a polynomial to integral mean for the class of polynomials with s-fold zero at the origin and the remaining zeros inside some closed disk of radius kk for k≥1k\ge 1 and k≤1k\le 1,
Singha Nirmal Kumar, Chanam Barchand
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Computation of the zeros of a quaternionic polynomial using matrix methods

Arab Journal of Basic and Applied Sciences
In 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, Tanveer Bhat, Ishfaq Dar, Bilal Khan, Arjika Sama   +4 more
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