Results 101 to 110 of about 28,297 (240)

Semiclassical Multiple Orthogonal Polynomials and the Properties of Jacobi–Bessel Polynomials

Journal of Approximation Theory, 1997
This paper deals with Hermite-Padé polynomials in the case where the multiple orthogonality condition is related to semiclassical functionals. The polynomials, introduced in such a way, are a generalization of classical orthogonal polynomials (Jacobi, Laguerre, Hermite, and Bessel polynomials).
Aptekarev, A. I., Marcellán, F., Rocha, I. A.   +2 more
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Relating random matrix map enumeration to a universal symbol calculus for recurrence operators in terms of Bessel-Appell polynomials [PDF]

, 2019
Nicholas M. Ercolani, Patrick Waters
openalex   +1 more source

Real orthogonalizing weights for Bessel polynomials

Journal of Computational and Applied Mathematics, 1993
The authors continue work on the real orthogonalizing weight for the generalized Bessel polynomials, see \textit{K. H. Kwon}, \textit{S. S. Kim} and \textit{S. S. Han} [Orthogonalizing weights of Tchebychev sets of polynomials [Bull. Lond. Math. Soc. 24, No. 4, 361-367 (1992; Zbl 0768.33007)]. Using `polynomial killers' \(g\) (i.e. a distribution \(g\)
EVANS, WD, EVERITT, WN, KWON, KH Kwon, Kil Hyun, LITTLEJOHN, LL   +3 more
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A DIFFERENTIAL EQUATION FOR MULTIPLE BESSEL POLYNOMIALS WITH RAISING AND LOWERING OPERATORS [PDF]

, 2011
Jin-Ok Baek, Dong-Won Lee
openalex   +1 more source

THE INTEGRAL EXPRESSION INVOLVING THE FAMILY OF LAGUERRE POLYNOMIALS AND BESSEL FUNCTION [PDF]

, 2012
A. K. Shukla, I. A. Salehbhai
openalex   +1 more source

Certain results associated with q-Agarwal fractional integral operators and a q-class of special functions

Arab Journal of Basic and Applied Sciences
This article investigates certain q-analogue of the fractional Agarwal integral operator and its application to a class of polynomials and a series of functions. By utilizing various types of q-Bessel functions, the fractional q-Agarwal integral has been
Shrideh Al-Omari
doaj   +1 more source

Ring-Shaped Potential and a Class of Relevant Integrals Involved Universal Associated Legendre Polynomials with Complicated Arguments

Advances in High Energy Physics, 2017
We find that the solution of the polar angular differential equation can be written as the universal associated Legendre polynomials. Its generating function is applied to obtain an analytical result for a class of interesting integrals involving ...
Wei Li, Chang-Yuan Chen, Shi-Hai Dong
doaj   +1 more source

Polynomial approximations to Bessel functions of order zero and one and to related functions [PDF]

, 1957
Anthony Hitchcock
openalex   +1 more source

Calogero-Sutherland-type quantum systems, generalized hypergeometric functions and superintegrability for integral chains

Journal of High Energy Physics
We reinvestigate the Calogero-Sutherland-type (CS-type) models and generalized hypergeometric functions. We construct the generalized CS operators for circular, Hermite, Laguerre, Jacobi and Bessel cases and establish the generalized Lassalle-Nekrasov ...
Fan Liu, Rui Wang, Jie Yang, Wei-Zhong Zhao   +3 more
doaj   +1 more source

Kronecker product bases and their applications in approximation theory

Electronic Research Archive
The Kronecker product is widely utilized to construct higher-dimensional spaces from lower-dimensional ones, making it an indispensable tool for efficiently analyzing multi-dimensional systems across various fields.
Mohra Zayed, Gamal Hassan
doaj   +1 more source