Results 51 to 60 of about 1,548 (264)

Construction of a Hybrid Class of Special Polynomials: Fubini–Bell-Based Appell Polynomials and Their Properties

Mathematics
This paper aims to establish a new hybrid class of special polynomials, namely, the Fubini–Bell-based Appell polynomials. The monomiality principle is used to derive the generating function for these polynomials. Several related identities and properties,
Yasir A. Madani, Abdulghani Muhyi, Khaled Aldwoah, Amel Touati, Khidir Shaib Mohamed, Ria H. Egami   +5 more
doaj   +1 more source

Application of High‐Order Direct Flux Reconstruction and Stiffness‐Resilient Time Integration to Simulations of Idealized Atmospheric Flows

International Journal for Numerical Methods in Fluids, EarlyView.
The proposed work implements a direct flux reconstruction method for spatial discretization and a stiffness‐resilient exponential time integration method for temporal discretization on the cube‐sphere grid. A space‐time tensor formalism is employed to provide a general representation in any curvilinear coordinate system. This combination enables highly
Stéphane Gaudreault, Christopher Subich, Shoyon Panday, Martin Charron, Vincent Magnoux, Valentin Dallerit, Mayya Tokman   +6 more
wiley   +1 more source

A Special Class of Bell Polynomials [PDF]

Mathematics of Computation, 1980
We examine the integersV(n,k)V(n,k)defined by means of\[k!∑n=0∞V(n,k)xn/n!=[x(ex+1)−2(ex−1)]k,k!\sum \limits _{n = 0}^\infty {V(n,k){x^n}/n! = {{[x({e^x} + 1) - 2({e^x} - 1)]}^k},}\]and, in particular, we show how these integers are related to the Bernoulli, Genocchi and van der Pol numbers, and the numbers generated by the reciprocal ofex−x−1{e^x} - x
openaire   +2 more sources

Validating Explainer Methods: A Functionally Grounded Approach for Numerical Forecasting

Journal of Forecasting, EarlyView.
ABSTRACT Forecasting systems have a long tradition in providing outputs accompanied by explanations. While the vast majority of such explanations relies on inherently interpretable linear statistical models, research has put forth eXplainable Artificial Intelligence (XAI) methods to improve the comprehensibility of nonlinear machine learning models. As
Felix Haag, Konstantin Hopf, Thorsten Staake   +2 more
wiley   +1 more source

Estimates for the Coefficients of Subclasses Defined by the Bell Distribution of Bi-Univalent Functions Subordinate to Gegenbauer Polynomials [PDF]

, 2023
Ala Amourah, Omar Alnajar, Maslina Darus, Ala Shdouh, Osama Ogilat   +4 more
openalex   +1 more source

Pulse Generation by On‐Chip Dispersion Compensation at 8 µm Wavelength

Laser &Photonics Reviews, EarlyView.
This work demonstrates on‐chip pulse generation at 8 μm$\mathrm{\mu}\mathrm{m}$ using chirped Bragg gratings in SiGe graded‐index photonic circuits to compensate the quadratic phase of quantum cascade laser frequency combs. With this approach pulses as short as 1.39 ps were produced, close to the transform limit, representing a key step toward compact,
Annabelle Bricout, Mathieu Bertrand, Philipp Täschler, Barbara Schneider, Victor Turpaud, Stefano Calcaterra, Davide Impelluso, Marco Faverzani, David Bouville, Jean‐René Coudevylle, Samson Edmond, Etienne Herth, Carlos Alonso‐Ramos, Laurent Vivien, Jacopo Frigerio, Giovanni Isella, Jérôme Faist, Delphine Marris‐Morini   +17 more
wiley   +1 more source

An extension of the bell polynomials

Computers & Mathematics with Applications, 2004
The authors introduce an extension of Bell polynomials, also called ``partition polynomials''. For a given integer \(M\) they define a generalized Bell polynomial \(Y_n^{[M-1]}\) as representing the \(n\)th derivative of the composite function \(\Phi(t) := f_{(1)}(f_{(2)}(\cdots(f_{(M)}(t))))\), where the functions \(f_{(M)}\), \dots, \(f_{(2)}\), \(f_{
NATALINI P., RICCI, Paolo Emilio
openaire   +4 more sources

Asymptotic Analysis of the Static Bidomain Model for Pulsed Field Cardiac Ablation

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Cardiac arrhythmias are caused by faulty electrical signals in the heart, which lead to chaotic wave propagation and impaired cardiac function. This work focuses on a non‐thermal ablation technique based on electroporation (EP), a promising method for treating arrhythmias, called pulsed field ablation (PFA).
Annabelle Collin, Simone Nati Poltri, Clair Poignard   +2 more
wiley   +1 more source

On Bell based Appell polynomials

Turkish Journal of Mathematics, 2023
Summary: Recently, several Bell based polynomials such as Bernoulli, Euler, Genocchi and Apostol versions were defined and investigated. The main aim of this paper is to introduce the general family of Bell based Appell polynomials, which includes many new members in addition to the existing ones, and to investigate their properties including ...
Ozarslan, Mehmet Ali, Ozat, Zeynep, ÇEKİM, BAYRAM   +2 more
openaire   +3 more sources

Assortment Planning in Omnichannel Retailing Under Product Returns and Showcase Capacity

Naval Research Logistics (NRL), EarlyView.
ABSTRACT We investigate the assortment planning decisions of a retailer that operates an online sales channel and a brick‐and‐mortar store. We explicitly investigate the impact of product returns, which is a norm in modern retailing and a factor for lost profit.
Amin Aslani, Osman Alp
wiley   +1 more source