Results 41 to 50 of about 18,610 (207)

Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure [PDF]

, 2015
This paper deals with monic orthogonal polynomials generated by a Geronimus canonical spectral transformation of the Laguerre classical measure for x in [0,?), ?
Alfredo Deaño, Branquinho, Bueno, Bueno, Chihara, Deaño, Deaño, Deift, Derevyagin, Derevyagin, Edmundo J. Huertas, Fejzullahu, Gautschi, Geronimus, Geronimus, Gil, López, Marcellán, Maroni, Meijer, Olver, Pablo Román, Shohat, Szegő, Temme, Temme, Vanlessen, Yoon, Zhedanov   +28 more
core   +6 more sources

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone, Louise Gassot, Patrick Gérard, Peter D. Miller   +3 more
wiley   +1 more source

Coupling Fluid Neutrals to Gyrokinetic Plasma Dynamics for Edge and SOL Turbulence Simulations

Contributions to Plasma Physics, EarlyView.
ABSTRACT Accurate modeling of turbulent transport in magnetic confinement fusion devices requires extending first‐principles gyrokinetic simulations from the core to the edge and scrape‐off layer (SOL), where additional physics—particularly plasma–neutrals interactions—must be included.
Sabine Ogier‐Collin, Philipp Ulbl, Wladimir Zholobenko, Frank Jenko   +3 more
wiley   +1 more source

Comparison between the Propagation Properties of Bessel–Gauss and Generalized Laguerre–Gauss Beams

Photonics, 2023
The connections between Laguerre–Gauss and Bessel–Gauss beams, and between Hermite–Gauss and cosine-Gauss beams are investigated. We review different asymptotic expressions for generalized Laguerre and Hermite polynomials of large radial/transverse order.
Colin J. R. Sheppard, Miguel A. Porras
doaj   +1 more source

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

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, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

A transference result of the $L^p$ continuity of the Jacobi Riesz transform to the Gaussian and Laguerre Riesz transforms [PDF]

, 2012
In this paper using the well known asymptotic relations between Jacobi polynomials and Hermite and Laguerre polynomials. We develop a transference method to obtain the $L^p$-continuity of the Gaussian-Riesz transform and the $L^p$-continuity of the ...
Eduard Navas, O. Urbina, Wilfredo
core  

Finite Biorthogonal Polynomials Suggested by the Finite Orthogonal Polynomials Mnp,qx$$ {M}_n^{\left(p,q\right)}(x) $$

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Constructing a biorthogonal structure from scratch, that is, defining a biorthogonal pair is quite tough. Because here the orthogonality must be established between two different sets. There are four known univariate biorthogonal polynomial sets, suggested by Laguerre, Jacobi, Hermite and Szegő‐Hermite polynomials, in the literature.
Esra Güldoğan Lekesiz
wiley   +1 more source

Two Efficient Generalized Laguerre Spectral Algorithms for Fractional Initial Value Problems

Abstract and Applied Analysis, 2013
We present a direct solution technique for approximating linear multiterm fractional differential equations (FDEs) on semi-infinite interval, using generalized Laguerre polynomials.
D. Baleanu, A. H. Bhrawy, T. M. Taha
doaj   +1 more source

Exceptional Laguerre and Jacobi polynomials and the corresponding potentials through Darboux-Crum Transformations

, 2010
Simple derivation is presented of the four families of infinitely many shape invariant Hamiltonians corresponding to the exceptional Laguerre and Jacobi polynomials.
Agarwal R P, Caputo M, Craiem D, Diethelm K Weibeer M Le Mehaute A Machado J A Trigeasson J C Sabatier J, Dzherbashyan M M, Feder J, Humbert P, Humbert P, Kilbas A A, Mainardi F, Mittag-Leffler G, Momani S, Oldham K B, Podlubny I, Podlubny I, Spiegel M R, Tihonov A N, Trifce Sandev, Yuste S B, Živorad Tomovski   +19 more
core   +1 more source

Financial Statement Information and Equity Value: The Role of Real Options Characteristics

Financial Management, EarlyView.
ABSTRACT This paper examines whether firm‐specific real options characteristics are equity value‐relevant beyond valuation estimates anchored in financial statements. Using extensive historical data for the United Kingdom, we assess and compare the forecast accuracy and explanatory power for stock prices of equity valuation models based on residual ...
Mingyu (Chandler) Chen, Colin Clubb, Tarik Driouchi   +2 more
wiley   +1 more source