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Zeros of Convex Combinations of Elementary Families of Harmonic Functions
Mathematics, 2023 Brilleslyper et al. investigated how the number of zeros of a one-parameter family of harmonic trinomials varies with a real parameter. Brooks and Lee obtained a similar theorem for an analogous family of harmonic trinomials with poles. In this paper, we
Jennifer Brooks +4 more
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Orthogonal Polynomials, Paraorthogonal Polynomials, and Point Perturbation [PDF]
, 2009 This thesis consists of three parts. Part 1 starts with an introduction to orthogonal polynomials, to be followed by some well-known theorems pertinent to the results we shall discuss.
Wong, Manwah Lilian
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Quasi-Rational and Rational Solutions to the Defocusing Nonlinear Schrödinger Equation
Journal of Mathematical Sciences and Modelling, 2022 Quasi-rational solutions to the defocusing nonlinear Schrödinger equation (dNLS) in terms of wronskians and Fredholm determinants of order $2N$ depending on $2N-2$ real parameters are given.
Pierre Gaillard
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PID Controller Simulator Design for Polynomials Transfer Function [PDF]
E3S Web of Conferences, 2020 PID controller is a controller used to determine precision of a system instrument employing feedback of the system. The component of PID control can be applied simultaneously or singly depends on the response we desired from a plant.
Senen Adri +2 more
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On polar Legendre polynomials [PDF]
, 2010 10 pages, no figures.-- MSC2000 codes: Primary 42C05; Secondary 33C25.-- ArXiv pre-print available at: http://arxiv.org/abs/0709.4537Accepted in Rocky Mountain Journal of Mathematics.We introduce a new class of polynomials {Pn}, that we call polar ...
Urbina, Wilfredo +6 more
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Applied Sciences, 2022 The forward kinematics in parallel manipulators is a mathematically challenging issue, unlike serial manipulators. Kinematic constraint equations are non-linear transcendental equations that can be reduced to algebraic equations with appropriate ...
Ercan Düzgün, Osman Kopmaz
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Recurrence coefficients for discrete orthonormal polynomials and the Painlevé equations [PDF]
, 2013 We investigate semi-classical generalizations of the Charlier and Meixner polynomials, which are discrete orthogonal polynomials that satisfy three-term recurrence relations.
Clarkson, Peter
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Smart building uncertainty analysis via adaptive Lasso
IET Cyber-Physical Systems, 2017 Uncertainty analysis plays a pivotal role in identifying the important parameters affecting building energy consumption and estimate their effects at the early design stages.
Bingqing Lin, Bei Yu
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Privacy-preserving verifiable delegation of polynomial and matrix functions
Journal of Mathematical Cryptology, 2020 Outsourcing computation has gained significant popularity in recent years due to the development of cloud computing and mobile services. In a basic outsourcing model, a client delegates computation of a function f on an input x to a server. There are two
Zhang Liang Feng, Safavi-Naini Reihaneh
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Generalizations of the Eneström–Kakeya Theorem Involving Weakened Hypotheses
AppliedMath, 2022 The well-known Eneström–Kakeya Theorem states that, for P(z)=∑ℓ=0naℓzℓ, a polynomial of degree n with real coefficients satisfying 0≤a0≤a1≤⋯≤an, then all the zeros of P lie in |z|≤1 in the complex plane. Motivated by recent results concerning an Eneström–
Robert Gardner, Matthew Gladin
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