Results 61 to 70 of about 27,421 (244)
Characterization of Generalized Bessel Polynomials in Terms of Polynomial Inequalities
Journal of Mathematical Analysis and Applications, 1998 AbstractGeneralized Bessel polynomials (GBPs) are characterized as the extremal polynomials in certain inequalities inL2norm of Markov type.
de Andrade, EXL +2 more
openaire +3 more sources
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
wiley +1 more source
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
wiley +1 more source
Laguerre-type Bell polynomials
International Journal of Mathematics and Mathematical Sciences, 2006 We develop an extension of the classical Bell polynomials introducing the Laguerre-type version of this well-known mathematical tool. The Laguerre-type Bell polynomials are useful in order to compute the nth Laguerre-type derivatives of a composite ...
P. Natalini, P. E. Ricci
doaj +1 more source
, 2014 A q-analogue of Erdelyi's formula for the Hankel transform of the product of Laguerre polynomials is derived using the quantum linking groupoid between the quantum SU(2) and E(2) groups.
De Commer, Kenny, Koelink, Erik
core +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We have studied possible applications of a particular pseudodifferential algebra in singular analysis for the construction of fundamental solutions and Green's functions of a certain class of elliptic partial differential operators. The pseudodifferential algebra considered in the present work, comprises degenerate partial differential ...
Heinz‐Jürgen Flad +1 more
wiley +1 more source
Journal of Time Series Analysis, EarlyView.This article reviews and compares popular methods, some old and some recent, that produce time series having Poisson marginal distributions. The article begins by narrating ways where time series with Poisson marginal distributions can be produced.
Jiajie Kong, Robert Lund
wiley +1 more source
A Mixture Transition Distribution Modeling for Higher‐Order Circular Markov Processes
Journal of Time Series Analysis, EarlyView.ABSTRACT This study considers the stationary higher‐order Markov process for circular data by employing the mixture transition distribution modeling. The underlying circular transition distribution is based on Wehrly and Johnson's bivariate joint circular models.
Hiroaki Ogata, Takayuki Shiohama
wiley +1 more source
, 1998 One object of interest in random matrix theory is a family of point ensembles (random point configurations) related to various systems of classical orthogonal polynomials.
Alexei Borodin +33 more
core +2 more sources
Asymptotic expansions of the generalized Bessel polynomials
Journal of Computational and Applied Mathematics, 1997 AbstractIn this paper, we investigate the asymptotic behavior of the generalized Bessel polynomials yn(z; a). Let z = α(n + 1). We first derive infinite asymptotic expansions for yn(z; a) when α lies in various regions of the complex plane, except when α is near ±i.
Roderick Wong, Jie Zhang
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