Search Results - "Atia, M. J."
-
1
Study of an example of Markov chains involving Chebyshev polynomials
Published in Integral transforms and special functions (01-02-2023)“…In his paper, 'Random walks and orthogonal polynomials: some challenges', F. A. Grunbaum gave the polynomials orthogonal with respect to the weight on…”
Get full text
Journal Article -
2
On orthogonal polynomials: semiclassical and of second category
Published in Integral transforms and special functions (01-01-2012)“…We give the recurrence coefficients of polynomials orthogonal on [−1, 1] with respect to (respectively, with respect to ). We give the distributional equations…”
Get full text
Journal Article -
3
Derivation of a double integral via convolution of Student t-densities
Published in The Ramanujan journal (15-05-2019)“…In this paper, we give the recursion formula (in a more general case) for the linearization coefficients ( β l ( N k ) ( A k ) ) for Bessel polynomials ( q n )…”
Get full text
Journal Article -
4
Some generalized Jacobi polynomials
Published in Computers & mathematics with applications (1987) (01-02-2003)“…We give explicitly the recurrence coefficients in the three term recurrence relation of some generalized Jacobi polynomials defined by the positive weight ϱ(…”
Get full text
Journal Article -
5
The exceptional Bessel polynomials
Published in Integral transforms and special functions (03-06-2014)“…Gomez-Ullate, Kamran and Milson have found polynomial eigenfunctions of a Sturm-Liouville problem. These polynomials, denoted by X 1 -Laguerre and X 1 -Jacobi…”
Get full text
Journal Article -
6
Some symmetric semi-classical orthogonal polynomials of class 0≤s≤5
Published in Integral transforms and special functions (01-07-2006)“…The system fulfilled by symmetric semi-classical orthogonal polynomial sequences of class s = 2 is not linear and has not been sorted out. Alaya and Bouras…”
Get full text
Journal Article -
7
Semi-classical linear functionals and integral representation II
Published in Integral transforms and special functions (01-03-2005)“…In this article, we give a new family of linear functionals u p , which proves that the list of integral representation given by Belmehdi [Belmehdi, S. (1992)…”
Get full text
Journal Article -
8
Semi-Classical Linear Functionals and Integral Representation
Published in Integral transforms and special functions (01-02-2003)“…In this paper, we give an example which proves that the list of integral representation given in [2, page 262, (4.9)-(4.11)] is not complete. Moreover, we use…”
Get full text
Journal Article -
9
Zeros of polynomials orthogonal with respect to a signed weight
Published 06-07-2015“…Indag. Math. (N.S.) 23 (2012), no. 1-2, 26-31 In this paper we consider the polynomial sequence $(P_{n}^{\alpha,q}(x))$ that is orthogonal on $[-1,1]$ with…”
Get full text
Journal Article -
10
Quadratic differentials and asymptotics of Laguerre polynomials with varying complex parameters
Published in Journal of mathematical analysis and applications (01-08-2014)“…In this paper we study the asymptotics (as n→∞) of the sequences of Laguerre polynomials with varying complex parameters α depending on the degree n. More…”
Get full text
Journal Article -
11
Some Linear Functionals Having Classical Orthogonal Polynomials as Moments
Published in Mediterranean journal of mathematics (01-05-2014)“…In this paper, we deal with some linear functionals on the vector space of polynomials whose moments are, in certain normalization, classical orthogonal…”
Get full text
Journal Article -
12
Explicit representations of some orthogonal polynomials
Published in Integral transforms and special functions (01-10-2007)“…In this paper, polynomials orthogonal on [−1, 1] with respect to either x 2q+1 (1−x) k (1−x 2 ) α , q integer, k=1, 2, or | x| μ (1−x) k (1−x 2 ) α , k=1, 2,…”
Get full text
Journal Article -
13
Proceedings of OPSFA12, 2013
Published in Integral transforms and special functions (01-02-2015)“…Integral Transforms and Special Functions Proceedings of OPSFA12, 2013…”
Get full text
Journal Article -
14
Zeros of polynomials orthogonal with respect to a signed weight
Published in Indagationes mathematicae (01-03-2012)“…In this paper we consider the monic polynomial sequence ( P n α , q ( x ) ) that is orthogonal on [ − 1 , 1 ] with respect to the weight function x 2 q + 1 ( 1…”
Get full text
Journal Article -
15
Quadratic differentials and asymptotics of Laguerre polynomials with varying complex parameters
Published 02-11-2013“…In this paper we study the asymptotics (as $n\to \infty$) of the sequences of Laguerre polynomials with varying complex parameters $\alpha$ depending on the…”
Get full text
Journal Article -
16
INAA of Zr, La, Ce and Nd in geological samples in the presence of different uranium concentratios
Published in Journal of radioanalytical and nuclear chemistry (01-03-1990)Get full text
Journal Article -
17