Results 1 to 10 of about 33,214 (147)

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

Journal 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
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scHiCSRS: a self-representation smoothing method with Gaussian mixture model for imputing single cell Hi-C data [PDF]

BMC Bioinformatics
Background Single cell Hi-C (scHi-C) techniques make it possible to study cell-to-cell variability, but excess of zeros are makes scHi-C matrices extremely sparse and difficult for downstream analyses.
Qing Xie, Wang Meng, Shili Lin
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RooTri: A Simple and Robust Function to Approximate the Intersection Points of a 3D Scalar Field with an Arbitrarily Oriented Plane in MATLAB

Algorithms, 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, Keno Jann Büscher, Jan Philipp Degel   +2 more
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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
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A Unified Approach to Computing the Zeros of Orthogonal Polynomials

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

Cubo, 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, Abdullah Mir, Adil Hussain   +2 more
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On the zeros of the Macdonald functions [PDF]

Opuscula 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, Hiroyuki Matsumoto, Tomoyuki Shirai   +2 more
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Digits of powers of 2 in ternary numeral system [PDF]

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

Applied 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
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Infinite Series Based on Bessel Zeros

Applied 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
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