Results 81 to 90 of about 411,141 (342)

The Kontorovich-Lebedev transform as a map between $d$-orthogonal polynomials

, 2012
A slight modification of the Kontorovich-Lebedev transform is an automorphism on the vector space of polynomials. The action of this $KL_{\alpha}$-transform over certain polynomial sequences will be under discussion, and a special attention will be given
Appell, Atakishiyeva, Cheikh, Cheikh, Cheikh, Chihara, Douak, Erdélyi, Gornevelt, Iseghem, Ismail, Koelink, Koornwinder, Koornwinder, Lebedev, Loureiro, Loureiro, Loureiro, Maroni, Maroni, Maroni, Maroni, Maroni, Prudnikov, Prudnikov, Riordan, Sneddon, Srivastava, Toscano, Van Assche, Wimp, Yakubovich, Yakubovich, Yakubovich   +33 more
core   +1 more source

Epileptiform Activity and Seizure Risk Follow Long‐Term Non‐Linear Attractor Dynamics

Advanced Science, EarlyView.
This study leverages the HAVOK framework to model long‐term, nonlinear attractor dynamics underlying epileptiform activity and seizure risk in epilepsy patients. By identifying key forcing mechanisms driving chaotic transitions, the findings improve seizure risk forecasting over multi‐day cycles and provide a pathway for personalized, data‐driven ...
Richard E Rosch, Brittany Scheid, Kathryn A Davis, Brian Litt, Arian Ashourvan   +4 more
wiley   +1 more source

Orthogonal Polynomials of Askey-Wilson Type [PDF]

arXiv, 2022
We study two families of orthogonal polynomials. The first is a finite family related to the Askey-Wilson polynomials but the orthogonality is on the real line. A limiting case of this family is an infinite system of orthogonal polynomials whose moment problem is indeterminate.
arxiv  

On the Sobolev orthogonality of classical orthogonal polynomials for non standard parameters

, 2017
The discrete part of the discrete-continuous orthogonality B(f, g) = Bd(f, g) + Bc(f , g), is studied for families of classical orthogonal polynomials such that the associated three-term recurrence relation xpn = pn+1 + βnpn + γnpn−1, presents one ...
J. F. Sánchez-Lara
semanticscholar   +1 more source

Block orthogonal polynomials: I. Definition and properties

, 2007
Constrained orthogonal polynomials have been recently introduced in the study of the Hohenberg-Kohn functional to provide basis functions satisfying particle number conservation for an expansion of the particle density.
Abramowitz M, Andrews G E, Bateman H, Bourbaki N, Chihara T S, Dieudonné J, Dreizler R M, Fiolhais C, Giraud B G, Gradshteyn I S, Halmos P R, Jean-Marie Normand, Kreyszig E, Lang S, Mehta M L, Messiah A, Normand J-M, Szegö G   +17 more
core   +3 more sources

Detection and Quantification of Over‐Humidification in Polymer Electrolyte Fuel Cells: Insights into Simulation, Imaging, and Sensors

Advanced Energy and Sustainability Research, EarlyView.
This review highlights advanced methods for detecting and managing over‐humidification in polymer electrolyte fuel cells (PEFCs), emphasizing innovative sensors, simulation techniques, and imaging methods. By addressing the impact of water management on fuel‐cell performance and durability, this study outlines practical and sustainable solutions for ...
Maximilian Käfer, Viktor Hacker, Merit Bodner   +2 more
wiley   +1 more source

On the Orthogonality of q-Classical Polynomials of the Hahn Class [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2012
This paper (arxiv 1107.2425 math.CA) has been withdrawn by the authors because we combine it with the paper arxiv 1107.2423 math.CA "On the orthogonality of q-classical polynomials of the Hahn class". The new version of arxiv 1107.2423 math.CA is now entitle "The orthogonality of q-classical polynomials of the Hahn class: A geometrical approach"
Taseli, Hasan, Álvarez Nodarse, Renato, Sevinik, Rezan   +2 more
openaire   +6 more sources

Orthogonal and multiple orthogonal polynomials, random matrices, and Painlevé equations [PDF]

in "Orthogonal Polynomials" (M. Foupouagnigni, W. Koepf, eds), Tutorials, Schools and Workshops in the Mathematical Sciences, Springer Nature Switzerland, 2020, pp. 629-683, 2019
Orthogonal polynomials and multiple orthogonal polynomials are interesting special functions because there is a beautiful theory for them, with many examples and useful applications in mathematical physics, numerical analysis, statistics and probability and many other disciplines.
arxiv   +1 more source

On the functional equation for classical orthogonal polynomials on lattices [PDF]

Journal of Mathematical Analysis and Applications, 2021
K. Castillo, D. Mbouna, J. Petronilho
semanticscholar   +1 more source

Circularity, Sustainability, and the Quality of Coffee Sold via Vending Machines: What Do Italian Consumers Prefer?

Agribusiness, EarlyView.
ABSTRACT Vending is an important sector in the daily lives of many people, and coffee is the most frequently consumed product in the European market. Like many other sectors, vending is responding to the challenge of sustainable development by taking various actions, such as offering increasingly ecologically sound coffee while maintaining/improving ...
Alberto Bertossi, Stefania Troiano, Francesco Marangon   +2 more
wiley   +1 more source