Results 141 to 150 of about 996,598 (373)
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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Doubly periodic lozenge tilings of a hexagon and matrix valued orthogonal polynomials. [PDF]
Stud Appl Math, 2021 Charlier C.
europepmc +1 more source
Structure relations for orthogonal polynomials [PDF]
, 2009 Mourad E. H. Ismail
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On a class of elliptic orthogonal polynomials and their integrability [PDF]
, 2023 Harini Desiraju +2 more
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Phase‐Retrieved High‐Throughput Multi‐Channel Simultaneous Surface Plasmon Resonance Detection
Laser &Photonics Reviews, EarlyView.This work presents a new phase‐retrieval high‐throughput multi‐channel simultaneous SPR detection framework. By integrating an objective lens‐based coupling system with a rotation‐based ePIE (r‐ePIE) phase retrieval on the back focal planes, this framework significantly reduces the minimum required detection area to reveal localized information.
Mengqi Shen +3 more
wiley +1 more source
Korobov’s controllability function method via orthogonal polynomials on [0,∞)
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i MehanikaGiven a controllable system described by ordinary or partial differential equations and an initial state, the problem of finding a set of bounded positional controls that transfer the initial state to another state, not necessarily an equilibrium point ...
Abdon Choque, Tatjana Vukasinac
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Biaxial Gay‐Berne Liquid Crystal Elastomer
Macromolecular Chemistry and Physics, EarlyView.Large‐scale Monte Carlo molecular simulations show that long‐range biaxial orientational order can exist in swollen thermotropic main‐chain liquid crystal elastomers, and that it is accompanied by a spontaneous biaxial elastic deformation. Biaxial ordering is also reflected in deuterium magnetic resonance spectra and scattered X‐ray intensity patterns ...
Gregor Skačej
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Exploring Thermal and Mechanical Strains During Laying Down Process in Fused Filament Fabrication
Macromolecular Materials and Engineering, EarlyView.This study analyzes strain evolution and thermal behavior during FFF of PLA using strain gauges and infrared imaging. Microstrain levels depend on printing conditions, with adhesion‐induced compression during cooling and peak strains in early layers. Microtomography shows minimal porosity, while thermal imaging reveals rapid heat penetration, strong ...
Boubakeur Mecheri +3 more
wiley +1 more source
On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials
Symmetry, Integrability and Geometry: Methods and Applications, 2011 A limit formula from q-Racah polynomials to big q-Jacobi polynomials is given which can be considered as a limit formula for orthogonal polynomials.
Tom H. Koornwinder
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The summation of series of orthogonal polynomials [PDF]
, 1934 Dunham Jackson
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