Results 51 to 60 of about 18,610 (207)
Jambura Journal of MathematicsThis 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 +2 more
doaj +1 more source
Fractional Orbital Angular Momentum Sorting Using Wind Spiral Transformation
Nanophotonics, Volume 15, Issue 8, 24 April 2026.A wind‐spiral coordinate transformation enables mode sorting of fractional‐order orbital angular momentum (OAM) states, overcoming the limited channel count of conventional integer only sorters. Fractional OAM is mapped into a controlled superposition of integer modes, producing distinctive multi‐peak signatures for discrimination.
Xiaobin Yang +7 more
wiley +1 more source
Diffractive Optical Neural Networks: Pathways Toward Intelligent and Scalable Photonic Computing
Nanophotonics, Volume 15, Issue 8, 24 April 2026.Diffractive optical neural networks (DONNs) are emerging as a transformative paradigm for photonic computing, offering massive parallelism, ultrafast inference, and passive low‐power operation. This review traces the evolution of DONNs from free‐space to on‐chip implementations, highlights advances in reconfigurability and multidimensional modulation ...
Yufei Wang +5 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
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Quantum Dust Cores of Black Holes and Their Quasi‐Normal Modes
Fortschritte der Physik, Volume 74, Issue 4, April 2026.We investigate the quasi‐normal mode spectrum of a gravitationally collapsed ball of dust, considering both a linear and a refined parabolic effective mass function for the quantum core. Furthermore, we account for the quantum leakage of dust particles outside the horizon.
T. Bambagiotti +4 more
wiley +1 more source
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
doaj +1 more source
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
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Asymptotic zero distribution of Jacobi-Pi\~neiro and multiple Laguerre polynomials
, 2016 We give the asymptotic distribution of the zeros of Jacobi-Pi\~neiro polynomials and multiple Laguerre polynomials of the first kind. We use the nearest neighbor recurrence relations for these polynomials and a recent result on the ratio asymptotics of ...
Neuschel, Thorsten, Van Assche, Walter
core +1 more source
Bispectral Laguerre type polynomials [PDF]
Integral Transforms and Special Functions, 2019 We study the bispectrality of Laguerre type polynomials, which are defined by taking suitable linear combinations of a fixed number of consecutive Laguerre polynomials. These Laguerre type polynomials are eigenfunctions of higher-order differential operators and include, as particular cases, the Krall-Laguerre polynomials. As the main results, we prove
Antonio J. Durán +1 more
openaire +2 more sources
On moments of the derivative of CUE characteristic polynomials and the Riemann zeta function
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We study the derivative of the characteristic polynomial of N×N$N \times N$ Haar‐distributed unitary matrices. We obtain new explicit formulae for complex‐valued moments when the spectral variable is inside the unit disc, in the limit N→∞$N \rightarrow \infty$.
Nicholas Simm, Fei Wei
wiley +1 more source