Results 81 to 90 of about 972,343 (359)

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

Non‐Hermitian Topological Lattice Photonics: An Analytic Perspective

Advanced Photonics Research, EarlyView.
This review establishes exact analytical solutions for non‐Hermitian Hatano–Nelson, Su–Schrieffer–Heeger, and generalized Rice–Mele models. We demonstrate non‐Hermitian skin effects via point‐gap topology, hybrid skin‐topological edge states in 2D lattices, and spin‐polarized boundary modes governed by dual bulk‐boundary correspondence.
Shihua Chen, Abdul Basit, Lingfang Li, Chong Hou, Yang Ruan, Yating Wei, Zhenhua Ni   +6 more
wiley   +1 more source

Landau-Kolmogorov type inequalities in several variables for the Jacobi measure [PDF]

Rendiconti di Matematica e delle Sue Applicazioni, 2014
This paper is devoted to Landau-Kolmogorov type inequalities in several variables in L2 norm for Jacobi measures. These measures are chosen in such a way that the partial derivatives of the Jacobi orthogonal polynomials are also orthogonal.
Lamia Abbas, André Draux
doaj  

Advances in Mode (De)Multiplexing Technologies via Circularly Symmetric Structured Light Beams

Advanced Photonics Research, EarlyView.
This review presents a comprehensive overview of mode (de)multiplexing technologies using circularly symmetric structured light beams, encompassing strategies of beam splitter combinations, multiorder diffractive gratings, optical coordinate transformations, angular dispersion lenses, multilayer cascaded modulations, and multidimensional hybrid (de ...
Qingji Zeng, Shu Chen, Zhibin Wu, Junmin Liu, Huapeng Ye, Gaiqing Zhao, Dianyuan Fan, Shuqing Chen   +7 more
wiley   +1 more source

A NEW CHARACTERIZATION OF SYMMETRIC DUNKL AND \(q\)-DUNKL-CLASSICAL ORTHOGONAL POLYNOMIALS

Ural Mathematical Journal, 2023
In this paper, we consider the following \(\mathcal{L}\)-difference equation $$\Phi(x) \mathcal{L}P_{n+1}(x)=(\xi_nx+\vartheta_n)P_{n+1}(x)+\lambda_nP_{n}(x),\quad n\geq0,$$where \(\Phi\) is a monic polynomial (even), \(\deg\Phi\leq2\), \(\xi_n ...
Yahia Habbachi
doaj   +1 more source

Factors Driving Battery and Solar Purchase Decision of Residents: a Behavioural Choice Experiment Using a Hybrid Discrete Choice and Latent Variable Model

Advanced Sustainable Systems, EarlyView.
This article explores what drives households to adopt solar PV and battery systems in South East Queensland. Using hybrid discrete choice experiments, it reveals distinct adopter profiles and highlights cost, system size, and energy independence as key motivators.
Mohammad Alipour, Elnaz Irannezhad, Rodney A. Stewart, Oz Sahin   +3 more
wiley   +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  

New Stability Criteria for Discrete Linear Systems Based on Orthogonal Polynomials

Mathematics, 2020
A new criterion for Schur stability is derived by using basic results of the theory of orthogonal polynomials. In particular, we use the relation between orthogonal polynomials on the real line and on the unit circle known as the Szegő transformation ...
Luis E. Garza, Noé Martínez, Gerardo Romero   +2 more
doaj   +1 more source

Plancherel-Rotach asymptotic expansion for some polynomials from indeterminate moment problems

, 2013
We study the Plancherel--Rotach asymptotics of four families of orthogonal polynomials, the Chen--Ismail polynomials, the Berg-Letessier-Valent polynomials, the Conrad--Flajolet polynomials I and II.
Dai, Dan, Ismail, Mourad E. H., Wang, Xiang-Sheng   +2 more
core   +1 more source

Assessment and Comparative Study of Free and Commercial Numerical Software Packages for Lithium‐Ion Battery Modeling

Advanced Theory and Simulations, EarlyView.
This study evaluates the simulation capabilities of lithium‐ion battery (LIB) electrochemical simulation software packages. The benchmark simulation results reveal the impacts of parameter sensitivity to solver performance and stability. The guidelines to troubleshooting common solver failures at high current rates lowers the steep learning curve to ...
Kenneth C. Nwanoro, Michael P. Mercer, Harry E. Hoster   +2 more
wiley   +1 more source