Results 31 to 40 of about 18,610 (207)

Laguerre polynomials as Jensen polynomials of Laguerre–Pólya entire functions

Journal of Computational and Applied Mathematics, 2009
The question if there exist entire special functions whose Jensen polynomials are orthogonal is investigated. Let \(\varphi(x)\) be an entire function from the Laguerre-Pólya class \(\varphi\in\mathcal L\mathcal P\) [see \textit{G. Pólya}, Über die algebraisch-funktionentheoretischen Untersuchungen von J. L. W. Jensen.
Dimitrov, Dimitar Kolev, Cheikh, Youssef Ben   +1 more
openaire   +3 more sources

Skew-orthogonal Laguerre polynomials for chiral real asymmetric random matrices [PDF]

, 2010
We apply the method of skew-orthogonal polynomials (SOP) in the complex plane to asymmetric random matrices with real elements, belonging to two different classes. Explicit integral representations valid for arbitrary weight functions are derived for the
Akemann G, Akemann G, Akemann G, Bergère M C, Deift P, Eynard B, Forrester P J, Fyodorov Y V, G Akemann, Ghosh S, Kanzieper E, Khoruzhenko B A, Kieburg M, Kieburg M, M J Phillips, M Kieburg, Mehta M L, Sinclair C D, Sommers H-J, Sommers H-J, Verbaarschot J J M   +20 more
core   +2 more sources

On differential equations for Sobolev-type Laguerre polynomials

, 1998
We obtain all spectral type differential equations satisfied by the Sobolev-type Laguerre polynomials. This generalizes the results found in 1990 by the first and second author in the case of the generalized Laguerre polynomials defined by T.H ...
Bavinck, H., Koekoek, J., Koekoek, R.
core   +2 more sources

Bivariate q-Laguerre–Appell polynomials and their applications

Applied Mathematics in Science and Engineering
Recently, the monomiality principle has been extended to q-polynomials, namely, the q-monomiality principle of q-Appell polynomials has been considered.
Mohammed Fadel, Nusrat Raza, Ahmed Al-Gonah, Ugur Duran   +3 more
doaj   +1 more source

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, Taekyun Kim, Dmitry V. Dolgy   +2 more
doaj   +1 more source

Studies on the Method of Orthogonal Collocation IV. Laguerre and Hermite Orthogonal Collocation Method

Journal of King Saud University: Engineering Sciences, 2000
Differential equations for which the zeros of Laguerre and Hermite polynomials are suitable collocation points are identified. It is shown that the equations representing tubular reactors with axial dispersion can be solved efficiently using the zeros of
M.A. Soliman
doaj   +1 more source

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, Abdul Samee A. Al-Janabee   +1 more
doaj   +1 more source

Specializations of Generalized Laguerre Polynomials [PDF]

SIAM Journal on Mathematical Analysis, 1994
Three specializations of a set of orthogonal polynomials with ``8 different q's'' are given. The polynomials are identified as $q$-analogues of Laguerre polynomials, and the combinatorial interpretation of the moments give infinitely many new Mahonian statistics on permutations.
Simion, R., Stanton, D.
openaire   +3 more sources

Meixner polynomials of the second kind and quantum algebras representing su(1,1)

, 2009
We show how Viennot's combinatorial theory of orthogonal polynomials may be used to generalize some recent results of Sukumar and Hodges on the matrix entries in powers of certain operators in a representation of su(1,1).
Chihara T. S., Klimyk A. U., Koelink E., Stanton D.   +3 more
core   +1 more source

Direct Photocurrent Detection of Optical Vortex Based on the Orbital Photo Galvanic Effect: Progress, Challenge, and Perspective

Advanced Science, EarlyView.
Direct orbital angular momentum (OAM) detection through the orbital photogalvanic effect offers a scalable route for integrated optoelectronics. This perspective evaluates symmetry‐driven material selection and demonstrates how electrode matrices enable the resolution of complex, mixed OAM modes.
Jinluo Cheng, Dehong Yang, Weiming Wang, Chang Xu, Zipu Fan, Dong Sun   +5 more
wiley   +1 more source