Results 21 to 30 of about 2,012 (183)
A generalization of the classical Laguerre polynomials [PDF]
Rendiconti del Circolo Matematico di Palermo, 1995 We consider a modi cation of the gamma distribution by adding a discrete measure supported in the point x = 0. For large n we analyze the existence of orthogonal polynomials with respect to such a distribution. Finally we represent them as the hypergeometric function 3F3:
Álvarez Nodarse, Renato +1 more
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Orbital Angular Momentum Holography Using Neural Network and Camera in the Loop
Laser &Photonics Reviews, EarlyView.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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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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Spectral Parameter Power Series for Zakharov‐Shabat Direct and Inverse Scattering Problems
Mathematical Methods in the Applied Sciences, EarlyView.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
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT The supercritical drive shaft is becoming increasingly popular in helicopter transmission system. Dry friction dampers are specially employed to ensure the supercritical shafts crossing the critical speed safely. Due to design tolerances, manufacturing errors and time‐varying factors, the parameters of the damper are inherently uncertain ...
Liyao Song +4 more
wiley +1 more source
Efficient Simulation of Open Quantum Systems on NISQ Trapped‐Ion Hardware
Advanced Quantum Technologies, EarlyView.Open quantum systems exhibit rich dynamics that can be simulated efficiently on quantum computers, allowing us to learn more about their behavior. This work applies a new method to simulate certain open quantum systems on noisy trapped‐ion quantum hardware.
Colin Burdine +3 more
wiley +1 more source
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
A new bound for the Laguerre polynomials
Journal of Computational and Applied Mathematics, 2001 The aim of the authors is to improve the bound estimation already given by Szegö for the Laguerre polynomials \(L_n^{(\alpha)}(x)\) defined through the expansion \[ (1-z)^{-\alpha-1} \exp\left( -{xz\over 1-z} \right)= \sum^\infty_{n=0}L_n^{(\alpha)} (x)z^n, \quad |z|
Jan Szynal, M. Michalska
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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.
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Construction of Bernstein‐Based Words and Their Patterns
Mathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 12819-12836, September 2025.ABSTRACT In this paper, with inspiration of the definition of Bernstein basis functions and their recurrence relation, we give construction of a new word family that we refer Bernstein‐based words. By classifying these special words as the first and second kinds, we investigate their some fundamental properties involving periodicity and symmetricity ...
Irem Kucukoglu, Yilmaz Simsek
wiley +1 more source