Search Results - "Atia, M. J."

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  1. 1

    Study of an example of Markov chains involving Chebyshev polynomials by Rehouma, A., Atia, M. J.

    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…”
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    Journal Article
  2. 2

    On orthogonal polynomials: semiclassical and of second category by Atia, M. J., Leffet, S.

    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…”
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  3. 3

    Derivation of a double integral via convolution of Student t-densities by Benabdallah, M., Atia, M. J.

    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 )…”
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  4. 4

    Some generalized Jacobi polynomials by Atia, M.J., Alaya, J., Ronveaux, A.

    “…We give explicitly the recurrence coefficients in the three term recurrence relation of some generalized Jacobi polynomials defined by the positive weight ϱ(…”
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  5. 5

    The exceptional Bessel polynomials by Atia, M.J., Chneguir, S.

    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…”
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  6. 6

    Some symmetric semi-classical orthogonal polynomials of class 0≤s≤5 by Atia, M. J.

    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…”
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  7. 7

    Semi-classical linear functionals and integral representation II by Atia, M. J.

    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)…”
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  8. 8

    Semi-Classical Linear Functionals and Integral Representation by Atia, M. J.

    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…”
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  9. 9

    Zeros of polynomials orthogonal with respect to a signed weight by Benabdallah, M, Atia, M. J, Costas-Santos, R. S

    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…”
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  10. 10

    Quadratic differentials and asymptotics of Laguerre polynomials with varying complex parameters by Atia, M.J., Martínez-Finkelshtein, A., Martínez-González, P., Thabet, F.

    “…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…”
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  11. 11

    Some Linear Functionals Having Classical Orthogonal Polynomials as Moments by Atia, M. J., Bouras, B., Leffet, S.

    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…”
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  12. 12

    Explicit representations of some orthogonal polynomials by Atia, M.J.

    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,…”
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  13. 13

    Proceedings of OPSFA12, 2013 by Atia, M.J., Berg, C., Dunkl, C.F., Khériji, L., Marcellán, F.

    Published in Integral transforms and special functions (01-02-2015)
    “…Integral Transforms and Special Functions Proceedings of OPSFA12, 2013…”
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  14. 14

    Zeros of polynomials orthogonal with respect to a signed weight by Atia, M.J., Benabdallah, M., Costas-Santos, R.S.

    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…”
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  15. 15

    Quadratic differentials and asymptotics of Laguerre polynomials with varying complex parameters by Atia, M. J, Martinez-Finkelshtein, A, Martinez-Gonzalez, P, Thabet, F

    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…”
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    Journal Article
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