Results 61 to 70 of about 19,826 (260)
Spectral Parameter Power Series for Zakharov‐Shabat Direct and Inverse Scattering Problems
Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 14661-14671, 15 November 2025.ABSTRACT We study the direct and inverse scattering problems for the Zakharov‐Shabat system. Representations for the Jost solutions are obtained in the form of the power series in terms of a transformed spectral parameter. In terms of that parameter, the Jost solutions are convergent power series in the unit disk.
Vladislav V. Kravchenko
wiley +1 more source
Specializations of Generalized Laguerre Polynomials [PDF]
SIAM Journal on Mathematical Analysis, 1994 Three specializations of a set of orthogonal polynomials with ``8 different q's'' are given. The polynomials are identified as $q$-analogues of Laguerre polynomials, and the combinatorial interpretation of the moments give infinitely many new Mahonian statistics on permutations.
Simion, R., Stanton, D.
openaire +3 more sources
Advances in Mode (De)Multiplexing Technologies via Circularly Symmetric Structured Light Beams
Advanced Photonics Research, Volume 6, Issue 10, October 2025.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 +7 more
wiley +1 more source
Journal of Function Spaces, 2018 We develop a transference method to obtain the Lp-continuity of the Gaussian-Littlewood-Paley g-function and the Lp-continuity of the Laguerre-Littlewood-Paley g-function from the Lp-continuity of the Jacobi-Littlewood-Paley g-function, in dimension one,
Eduard Navas, Wilfredo O. Urbina
doaj +1 more source
Analytical Solutions of the Driven Time‐Dependent Jaynes–Cummings Model
Annalen der Physik, Volume 537, Issue 10, October 2025.Following the great strides made in the last decade towards the control and tunability of physical parameters in cavity quantum electrodynamics, this study presents new solutions to the dynamics of the time‐dependent Jaynes–Cummings model with variable external classical fields acting on the two‐level system and the quantized field mode.
Antonio Vidiella‐Barranco +5 more
wiley +1 more source
The Combinatorics of Associated Laguerre Polynomials [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2015 The explicit double sum for the associated Laguerre polynomials is derived combinatorially. The moments are described using certain statistics on permutations and permutation tableaux. Another derivation of the double sum is provided using only the moment generating function.
Kim, J.S., Stanton, D.
openaire +4 more sources
Orbital Angular Momentum Holography Using Neural Network and Camera in the Loop
Laser &Photonics Reviews, Volume 19, Issue 19, October 7, 2025.Neural network and optimization‐based approaches are introduced for Orbital Angular Momentum (OAM) multiplexed holography, enabling high‐capacity, phase‐only image reconstruction. A Camera‐In‐The‐Loop (CITL) system learns a realistic propagation model to correct system imperfections.
Nima Asoudegi, Mo Mojahedi
wiley +1 more source
On the Complex Zeros of Some Families of Orthogonal Polynomials
Abstract and Applied Analysis, 2010 The complex zeros of the orthogonal Laguerre polynomials 𝐿𝑛(𝑎)(𝑥) for ...
Eugenia N. Petropoulou
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A Study of Generalized Laguerre Poly-Genocchi Polynomials
Mathematics, 2019 A variety of polynomials, their extensions, and variants, have been extensively investigated, mainly due to their potential applications in diverse research areas.
Nabiullah Khan +2 more
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The K Extended Laguerre Polynomials Involving Aαr,n,kxFr r,r>2
Advances in Mathematical Physics, 2022 In this manuscript, we present the generalized hypergeometric function of the type Fr r,r>2 and extension of the K Laguerre polynomial for the K extended Laguerre polynomials Ar,n,kαx.
Adnan Khan +3 more
doaj +1 more source