Results 31 to 40 of about 126,262 (211)
Fractional Generalizations of Rodrigues-Type Formulas for Laguerre Functions in Function Spaces
Mathematics, 2021 Generalized Laguerre polynomials, Ln(α), verify the well-known Rodrigues’ formula. Using Weyl and Riemann–Liouville fractional calculi, we present several fractional generalizations of Rodrigues’ formula for generalized Laguerre functions and polynomials.
Pedro J. Miana, Natalia Romero
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Bivariate q-Laguerre–Appell polynomials and their applications
Applied Mathematics in Science and EngineeringRecently, the monomiality principle has been extended to q-polynomials, namely, the q-monomiality principle of q-Appell polynomials has been considered.
Mohammed Fadel +3 more
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Some Identities on Laguerre Polynomials in Connection with Bernoulli and Euler Numbers
Discrete Dynamics in Nature and Society, 2012 We study some interesting identities and properties of Laguerre polynomials in connection with Bernoulli and Euler numbers. These identities are derived from the orthogonality of Laguerre polynomials with respect to inner product ∫⟨𝑓,𝑔⟩=∞0𝑒−𝑥2𝑓(𝑥)𝑔(𝑥)𝑑𝑥.
Dae San Kim +2 more
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Matrix Valued Laguerre Polynomials [PDF]
, 2019 20 pages, to appear in Positivity and Noncommutative Analysis Festschrift in Honour of Ben de Pagter (eds. G. Buskes, M. de Jeu, P. Dodds, A. Schep, F. Sukochev, J. van Neerven and A. Wickstead)
Koelink, H.T., Roman, P.M.
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A direct Approximation Method to solve OCP Using Laguerre Functions [PDF]
Kirkuk Journal of Science, 2006 This paper presents an approximate method to solve unconstrained optimal control problem (OCP).This method is classified as a direct method in which an OCP is converted into a mathematical programming problem.The proposed direct method is employed by ...
Omar M. Al-Faour and Suha N. Al-Rawi +1 more
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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 +5 more
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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 +6 more
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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 +2 more
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Journal of the American Oil Chemists' Society, Volume 103, Issue 10, Page 1157-1177, October 2026.ABSTRACT Mayonnaise, a widely consumed oil‐in‐water emulsion, is highly susceptible to lipid oxidation due to its high content of polyunsaturated fatty acids (PUFAs) and the presence of pro‐oxidant factors such as low pH and iron from egg yolk. Over the past three decades, extensive research has focused on understanding oxidation mechanisms, analytical
Sakhi Ghelichi +2 more
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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
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