Results 71 to 80 of about 230,209 (328)

Multivariate Differences, Polynomials, and Splines

Journal of Approximation Theory, 1996
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openaire   +2 more sources

Polynomial solutions of differential–difference equations

Journal of Approximation Theory, 2011
We investigate the zeros of polynomial solutions to the differential-difference equation \[ P_{n+1}(x)=A_{n}(x)P_{n}^{\prime}(x)+B_{n}(x)P_{n}(x), n=0,1,... \] where $A_{n}$ and $B_{n}$ are polynomials of degree at most 2 and 1 respectively. We address the question of when the zeros are real and simple and whether the zeros of polynomials of adjacent ...
Dominici, Diego, Driver, Kathy (Cathryn Helena Stanford), Jordaan, Kerstin Heidrun   +2 more
openaire   +4 more sources

Optimizing Angiopep‐2 Density on Polymeric Nanoparticles for Enhanced Blood–Brain Barrier Penetration and Glioblastoma Targeting: Insights From In Vitro and In Vivo Experiments

Advanced Functional Materials, EarlyView.
The Angiopep‐2 peptide density on polymeric nanoparticles significantly impacts blood–brain barrier (BBB) penetration. This study explores this nuanced relationship using various in vitro models and in vivo assays, revealing that dynamic models better predict BBB penetration.
Weisen Zhang, Ahmed Refaat, Haoqin Li, Douer Zhu, Ziqiu Tong, Joseph Anthony Nicolazzo, Bo Peng, Hua Bai, Lars Esser, Nicolas Hans Voelcker   +9 more
wiley   +1 more source

Determinant Forms, Difference Equations and Zeros of the q-Hermite-Appell Polynomials

Mathematics, 2018
The present paper intends to introduce the hybrid form of q-special polynomials, namely q-Hermite-Appell polynomials by means of generating function and series definition.
Subuhi Khan, Tabinda Nahid
doaj   +1 more source

On the ω-multiple Charlier polynomials

Advances in Difference Equations, 2021
The main aim of this paper is to define and investigate more general multiple Charlier polynomials on the linear lattice ω N = { 0 , ω , 2 ω , … } $\omega \mathbb{N} = \{ 0,\omega ,2\omega ,\ldots \} $ , ω ∈ R $\omega \in \mathbb{R}$ .
Mehmet Ali Özarslan, Gizem Baran
doaj   +1 more source

Nevanlinna Theory of the Wilson Divided-difference Operator

, 2017
Sitting at the top level of the Askey-scheme, Wilson polynomials are regarded as the most general hypergeometric orthogonal polynomials. Instead of a differential equation, they satisfy a second order Sturm-Liouville type difference equation in terms of ...
Cheng, Kam Hang, Chiang, Yik-Man
core   +1 more source

Optical Control of the Thermal Conductivity in BaTiO3

Advanced Functional Materials, EarlyView.
Light‐driven manipulation of thermal conductivity in archetypal ferroelectric, BaTiO3, offers a novel and effective approach for the dynamical control of the heat flux, with potential applications in thermal management and phonon‐based logic. Abstract Achieving dynamic control over thermal conductivity remains a formidable challenge in condensed matter
Claudio Cazorla, Carlos Escorihuela‐Sayalero, Jesús Carrete, Jorge Íñiguez‐González, Riccardo Rurali   +4 more
wiley   +1 more source

Discrete Darboux transformation for discrete polynomials of hypergeometric type

, 1998
Darboux Transformation, well known in second order differential operator theory, is applied here to the difference equation satisfied by the discrete hypergeometric polynomials(Charlier, Meixner-Krawchuk, Hahn)
, Askey R, Darboux G, Gaspard Bangerezako, Kalnins E G, Magnus A P, Magnus A P, Miller W Jr, Nikiforov A, Shabat A, Shabat A B, Smirnov Yu F, Spiridonov V, Spiridonov V, Spiridonov V   +14 more
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Difference Sets and Polynomials

, 2015
We provide upper bounds on the largest subsets of $\{1,2,\dots,N\}$ with no differences of the form $h_1(n_1)+\cdots+h_{\ell}(n_{\ell})$ with $n_i\in \mathbb{N}$ or $h_1(p_1)+\cdots+h_{\ell}(p_{\ell})$ with $p_i$ prime, where $h_i\in \mathbb{Z}[x]$ lie in in the classes of so-called intersective and $\mathcal{P}$-intersective polynomials, respectively.
Lyall, Neil, Rice, Alex
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Influence of Hysteresis on Magnetocaloric Performance at Cryogenic Temperatures: A Tb3Ni Case Study

Advanced Functional Materials, EarlyView.
The existence of an inverse magnetocaloric effect in metamagnetic materials at cryogenic temperatures is investigated using multiple methods. Contrary to predictions from magnetization data, neither specific heat nor pulsed‐field measurements show such a cooling effect, instead indicating irreversible heating.
Timo Niehoff, Benedikt Beckmann, Konstantin Skokov, Aritz Herrero, Alberto Oleaga, Eduard Bykov, Catalina Salazar Mejía, Marc Straßheim, Oliver Gutfleisch, J. Wosnitza, Tino Gottschall   +10 more
wiley   +1 more source