Results 41 to 50 of about 148,379 (206)

On multiple q-Laguerre polynomials

Journal of Classical Analysis, 2023
Summary: We study \(q\)-Laguerre multiple orthogonal polynomials. These polynomials are orthogonal with respect to \(q\)-analogues of Laguerre weight functions. We focus our attention on their structural properties. Raising and lowering operators as well as Rodrigues-type formulas are obtained and their explicit representations are given.
Sadjang, P. Njionou, Mouncharou, J. C. Múnlúem, Mboutngam, Salifou   +2 more
openaire   +2 more sources

Coupling Fluid Neutrals to Gyrokinetic Plasma Dynamics for Edge and SOL Turbulence Simulations

Contributions to Plasma Physics, EarlyView.
ABSTRACT Accurate modeling of turbulent transport in magnetic confinement fusion devices requires extending first‐principles gyrokinetic simulations from the core to the edge and scrape‐off layer (SOL), where additional physics—particularly plasma–neutrals interactions—must be included.
Sabine Ogier‐Collin, Philipp Ulbl, Wladimir Zholobenko, Frank Jenko   +3 more
wiley   +1 more source

Asymptotic behavior and zero distribution of polynomials orthogonal with respect to Bessel functions [PDF]

, 2015
We consider polynomials P_n orthogonal with respect to the weight J_? on [0,?), where J_? is the Bessel function of order ?. Asheim and Huybrechs considered these polynomials in connection with complex Gaussian quadrature for oscillatory integrals.
Deaño Cabrera, Alfredo, Kuijlaars, Arno, Kuijlaars, Arno B. J., Román, Pablo Manuel, Deaño, Alfredo, Román, Pablo   +5 more
core   +1 more source

Parallel Vector Processing in Optical Computing With Jacobi Time‐Wave Packets

Laser &Photonics Reviews, EarlyView.
Functionality of a single neuron and state of the art photonic acceleration with a Mach‐Zehnder‐interferometer (MZI) mesh (i), a crossbar array (ii) and a micro ring resonator (MRR) array (iii). In the proposed Jacobi time‐wave packet approach (iv) a single modulator (here a ring modulator) is performing the whole scalar vector product in a single ...
Janosch Meier, Khaleda Mallick, Abhinand Venugopalan, Milind Bagul, Gouri Krishnan, Thomas Schneider   +5 more
wiley   +1 more source

Dual‐Metasurface‐Integrated Fiber Array for Bidirectional Cylindrical‐Vector‐Beam Multiplexed Communication Using Off‐Axis Spatial Manipulation

Laser &Photonics Reviews, EarlyView.
A dual‐layer metasurface is integrated on a fiber‐array facet to realize compact, plug‐and‐play free‐space optical links with cylindrical vector beam (CVB) space‐division multiplexing. An optimized off‐axis collimation layer steers multiple channels, while a Dammann vortex layer performs polarization–topology conversion for bidirectional CVB (de ...
Xipeng Lu, Jinke Li, Jin Tae Kim, Shaoyan Li, Hongliang Li, Duk‐Yong Choi, Sang‐Shin Lee   +6 more
wiley   +1 more source

q-Differential equations for q-classical polynomials and q-Jacobi-Stirling numbers [PDF]

, 2016
We introduce, characterise and provide a combinatorial interpretation for the so-called q-Jacobi–Stirling numbers. This study is motivated by their key role in the (reciprocal) expansion of any power of a second order q-differential operator having the
Zeng, Jiang, Loureiro, Ana F., Loureiro, Ana, Ana F. Loureiro, Jiang Zeng, Zeng, J.   +5 more
core   +1 more source

Application of the Laguerre Perturbed Galerkin Analysis Method for Solving Higher-Order Integro-Differential Equations

Jambura Journal of Mathematics
This study presents the development and implementation of a novel numerical method, the Laguerre Perturbed Galerkin (LPG) method, for solving higher-order integro-differential equations.
Ajimot Folasade Adebisi, Taiwo Adetola Ojurongbe, Kazeem Adekunle Okunola   +2 more
doaj   +1 more source

Comparison between the Propagation Properties of Bessel–Gauss and Generalized Laguerre–Gauss Beams

Photonics, 2023
The connections between Laguerre–Gauss and Bessel–Gauss beams, and between Hermite–Gauss and cosine-Gauss beams are investigated. We review different asymptotic expressions for generalized Laguerre and Hermite polynomials of large radial/transverse order.
Colin J. R. Sheppard, Miguel A. Porras
doaj   +1 more source

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

Simplified Expressions of the Multi-Indexed Laguerre and Jacobi Polynomials [PDF]

, 2017
The multi-indexed Laguerre and Jacobi polynomials form a complete set of orthogonal polynomials. They satisfy second-order differential equations but not three term recurrence relations, because of the 'holes' in their degrees. The multi-indexed Laguerre
Sasaki, Ryu, Odake, Satoru, Sasaki, R., Odake, S.   +3 more
core   +1 more source