Results 41 to 50 of about 18,676 (205)

q-deformed harmonic and Clifford analysis and the q-Hermite and Laguerre polynomials [PDF]

, 2010
We define a q-deformation of the Dirac operator, inspired by the one dimensional q-derivative. This implies a q-deformation of the partial derivatives. By taking the square of this Dirac operator we find a q-deformation of the Laplace operator.
Atakishiyev M, Atakishiyev N, Bonatsos D, Brackx F, Brackx F, Ciccoli N, De Bie H, Delanghe R, Dobrogowska A, Exton H, Exton H, F Sommen, Gasper G, Jackson F, K Coulembier, Lavagno A, Truong T, Ubriaco M   +17 more
core   +2 more sources

A New Generalization of mth-Order Laguerre-Based Appell Polynomials Associated with Two-Variable General Polynomials

Mathematics
This paper presents a novel generalization of the mth-order Laguerre and Laguerre-based Appell polynomials and examines their fundamental properties. By establishing quasi-monomiality, we derive key results, including recurrence relations, multiplicative
Waseem Ahmad Khan, Khidir Shaib Mohamed, Francesco Aldo Costabile, Shahid Ahmad Wani, Alawia Adam   +4 more
doaj   +1 more source

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
doaj   +1 more source

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

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

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

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

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