Results 1 to 10 of about 388,814 (186)

Some generalized results of zeros of polar derivative of a polynomial [PDF]

open access: yesJournal of Hyperstructures, 2021
In the present paper, we further generalize and extend various results on zeroes of polar derivatives of polynomials due toGulzar, Zargar and Akhter (2019), who gave extension and generalization of various results on Enestrom-Kakeya theorem established ...
Ram Milan Singh
doaj   +1 more source

RooTri: A Simple and Robust Function to Approximate the Intersection Points of a 3D Scalar Field with an Arbitrarily Oriented Plane in MATLAB

open access: yesAlgorithms, 2023
With the function RooTri(), we present a simple and robust calculation method for the approximation of the intersection points of a scalar field given as an unstructured point cloud with a plane oriented arbitrarily in space.
Jan Oellerich   +2 more
doaj   +1 more source

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

open access: yesCubo, 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

A Unified Approach to Computing the Zeros of Orthogonal Polynomials

open access: yesJournal of New Theory, 2023
We present a unified approach to calculating the zeros of the classical orthogonal polynomials and discuss the electrostatic interpretation and its connection to the energy minimization problem. This approach works for the generalized Bessel polynomials,
Ridha Moussa, James Tipton
doaj   +1 more source

Estimates for the polar derivative of a constrained polynomial on a disk

open access: yesCubo, 2022
This work is a part of a recent wave of studies on inequalities which relate the uniform-norm of a univariate complex coefficient polynomial to its derivative on the unit disk in the plane.
Gradimir V. Milovanović   +2 more
doaj   +1 more source

On the zeros of the Macdonald functions [PDF]

open access: yesOpuscula Mathematica, 2019
We are concerned with the zeros of the Macdonald functions or the modified Bessel functions of the second kind with real index. By using the explicit expressions for the algebraic equations satisfied by the zeros, we describe the behavior of the zeros ...
Yuji Hamana   +2 more
doaj   +1 more source

Digits of powers of 2 in ternary numeral system [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics, 2023
We study the digits of the powers of 2 in the ternary number system. We propose an algorithm for doubling numbers in ternary numeral system. Using this algorithm, we explain the appearance of “stairs” formed by 0s and 2s when the numbers 2ⁿ (n = 0, 1, 2,
Yagub N. Aliyev
doaj   +1 more source

Interval estimation on hyper-order of meromorphic solutions of complex linear differential equations with uncertain coefficients

open access: yesApplied Mathematics in Science and Engineering, 2023
The authors address the complex oscillation problems of all solutions of homogenous linear differential equations with meromorphic coefficients. Sufficient conditions for estimating the growth of meromorphic solution with infinite order have been ...
Zhongwei He, Lingyun Gao
doaj   +1 more source

Infinite Series Based on Bessel Zeros

open access: yesApplied Sciences, 2023
An interesting series based on Bessel function roots (zeros) is discussed and numerically analyzed. The novel-derived simplified general solutions are based on Lommel polynomials.
Kamil Urbanowicz
doaj   +1 more source

Learning Something From Nothing: The Critical Importance of Rethinking Microbial Non-detects

open access: yesFrontiers in Microbiology, 2018
Accurate estimation of microbial concentrations is necessary to inform many important environmental science and public health decisions and regulations.
Alex Ho Shing Chik   +4 more
doaj   +1 more source

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