Results 61 to 70 of about 411,141 (342)
Point vortices and classical orthogonal polynomials [PDF]
Regular and Chaotic Dynamics, 2012 Stationary equilibria of point vortices with arbitrary choice of circulations in a background flow are studied. Differential equations satisfied by generating polynomials of vortex configurations are derived. It is shown that these equations can be reduced to a single one.
Nikolai A. Kudryashov, Maria V. Demina
openaire +4 more sources
Krylov complexity and orthogonal polynomials
Nuclear Physics B, 2022 Krylov complexity measures operator growth with respect to a basis, which is adapted to the Heisenberg time evolution. The construction of that basis relies on the Lanczos algorithm, also known as the recursion method.
Wolfgang Mück, Yi Yang
doaj
Computational Modeling of Reticular Materials: The Past, the Present, and the Future
Advanced Materials, EarlyView.Reticular materials are advanced materials with applications in emerging technologies. A thorough understanding of material properties at operating conditions is critical to accelerate the deployment at an industrial scale. Herein, the status of computational modeling of reticular materials is reviewed, supplemented with topical examples highlighting ...
Wim Temmerman +3 more
wiley +1 more source
New Formulas and Connections Involving Euler Polynomials
Axioms, 2022 The major goal of the current article is to create new formulas and connections between several well-known polynomials and the Euler polynomials. These formulas are developed using some of these polynomials’ well-known fundamental characteristics as well
Waleed Mohamed Abd-Elhameed +1 more
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Perturbations around the zeros of classical orthogonal polynomials [PDF]
, 2014 Starting from degree N solutions of a time dependent Schrodinger-like equation for classical orthogonal polynomials, a linear matrix equation describing perturbations around the N zeros of the polynomial is derived.
R. Sasaki
semanticscholar +1 more source
The orthogonal polynomials generated by [ceteris omissis] [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 1995 Starting from the generating function, a differential-recurrence relation is derived, which is then combined with the three-term pure recurrence formula (a necessary and sufficient condition for orthogonal polynomials) to obtain a differential ...
A.L.W. VON BACHHAUS
doaj
Direct Ink Writing of Carbon‐Based Electrofluids for Soft Electrical Component Manufacturing
Advanced Materials Technologies, EarlyView.This work explores the manufacturing of Electrofluids (EFs), conductive particle suspensions that flow while maintaining conductivity, for soft electrical components. Using Direct Ink Writing (DIW), patterned EFs achieve enhanced performance, including a 800% sensitivity boost in strain gauges. Through rheological studies, a printability map is created
Niclas Hautz, Lola González‐García
wiley +1 more source
A NEW CHARACTERIZATION OF 𝑞-CHEBYSHEV POLYNOMIALS OF THE SECOND KIND
Проблемы анализаIn this work, we introduce the notion of $\cal{U}_{(q, \mu)}$-classical orthogonal polynomials, where $\cal{U}_{(q, \mu)}$ is the degree raising shift operator defined by $\cal{U}_{(q, \mu)}$ $:= x(xH_q + q^{-1}I_{\cal{P}}) + \mu H_q$, where $\mu$ is a
S. Jbeli
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Parameter Derivatives of the Jacobi Polynomials with Three Variables on the Simplex
MATEC Web of Conferences, 2016 In this paper, an attempt has been made to derive parameter derivatives of Jacobi polynomials with three variables on the simplex. They are obtained via parameter derivatives of the classical Jacobi polynomials Pn(α,β)(x) with respect to their parameters.
Aktaş Rabia
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On Spectral Vectorial Differential Equation of Generalized Hermite Polynomials
Axioms, 2022 In this paper, we first give some results on monic generalized Hermite polynomials (GHP) {Hn(μ)(x)}n≥0, orthogonal with respect to the positive weight |x|2μe−x2,μ>−12,x∈R, which will lead to the formulation of the second-order spectralvectorial ...
Mohamed Jalel Atia, Majed Benabdallah
doaj +1 more source