Results 41 to 50 of about 2,196 (186)
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
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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
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On a family of q-modified-Laguerre-Appell polynomials
Arab Journal of Basic and Applied SciencesThis paper aims to introduce a new class of special polynomials called q-modified Laguerre-Appell polynomials. Some definitions and concepts related to this class of polynomials, including generating function and series definition are explored.
Mohammed Fadel, Abdulghani Muhyi
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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 note on the magnetic Steklov operator on functions
Mathematika, Volume 71, Issue 4, October 2025.Abstract We consider the magnetic Steklov eigenvalue problem on compact Riemannian manifolds with boundary for generic magnetic potentials and establish various results concerning the spectrum. We provide equivalent characterizations of magnetic Steklov operators which are unitarily equivalent to the classical Steklov operator and study bounds for the ...
Tirumala Chakradhar +3 more
wiley +1 more source
Abstract and Applied Analysis, 2014 The modified generalized Laguerre-Gauss collocation (MGLC) method is applied to obtain an approximate solution of fractional neutral functional-differential equations with proportional delays on the half-line.
Ali H. Bhrawy +3 more
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مجلة العلوم البحتة والتطبيقية, 2020 The connection between different classes of special functions is a very important aspect in establishing new properties of the related classical functions that is they can inherit the properties of each other. Here we show how the Hermite polynomials are
Haniyah Saed Ben Hamdin
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International Journal for Numerical Methods in Engineering, Volume 126, Issue 18, 30 September 2025.ABSTRACT There is a variety of microstructured materials that involve voids and pores, for example, high‐porosity foams, mechanical metamaterials, or composites involving defects due to damage and cracking, respectively. Computational methods based on the fast Fourier transform (FFT) typically face convergence problems for such microstructures unless ...
Lennart Risthaus, Matti Schneider
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Extended Laguerre Polynomials Associated with Hermite, Bernoulli, and Euler Numbers and Polynomials
Abstract and Applied Analysis, 2012 Let Pn={p(x)∈ℝ[x]∣deg p(x)≤n} be an inner product space with the inner product 〈p(x),q(x)〉=∫0∞xαe-xp(x)q(x)dx, where p(x),q(x)∈Pn and α∈ℝ with α>-1. In this paper we study the properties of the extended Laguerre polynomials which are an orthogonal basis
Taekyun Kim, Dae San Kim
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