DIFFERENCE-EQUATIONS FOR GENERALIZED MEIXNER POLYNOMIALS

被引：29
|
作者：
BAVINCK, H
VANHAERINGEN, H
机构：
[1] Faculty of Technical Mathematics and Informatics, Delft University of Technology, 2628 CD Delft
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1994年 / 184卷 / 03期
关键词：
D O I：
10.1006/jmaa.1994.1214
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper is introduced a system of polynomials orthogonal with respect to the classical discrete weight function for Meixner polynomials with an extra point mass added at x = 0. A difference operator of infinite order is constructed for which these new polynomials are eigenfunctions and a second-order difference equation is given with polynomial coefficients, n-dependent and of at most degree 2, which these polynomials satisfy. (C) 1994 Academic Press, Inc.
引用
收藏
页码：453 / 463
页数：11
相关论文
共 50 条
  • [1] DIFFERENCE-EQUATIONS AND EXPONENTIAL POLYNOMIALS
    GRAMAIN, F
    [J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1991, 313 (03): : 131 - 134
  • [2] Difference equations for multiple Charlier and Meixner polynomials
    Van Assche, W
    [J]. PROCEEDINGS OF THE SIXTH INTERNATIONAL CONFERENCE ON DIFFERENCE EQUATIONS: NEW PROGRESS IN DIFFERENCE EQUATIONS, 2004, : 549 - 557
  • [3] Recurrence coefficients of generalized Meixner polynomials and Painleve equations
    Boelen, Lies
    Filipuk, Galina
    Van Assche, Walter
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (03)
  • [4] Meixner polynomials in several variables satisfying bispectral difference equations
    Iliev, Plamen
    [J]. ADVANCES IN APPLIED MATHEMATICS, 2012, 49 (01) : 15 - 23
  • [5] STOCHASTIC DIFFERENCE-EQUATIONS AND GENERALIZED GAMMA DISTRIBUTIONS
    KLEBANER, FC
    [J]. ANNALS OF PROBABILITY, 1989, 17 (01): : 178 - 188
  • [6] STABILITY OF SOLUTIONS OF GENERALIZED LOGISTIC DIFFERENCE-EQUATIONS
    BRIDEN, W
    ZHANG, S
    [J]. ACTA MATHEMATICA HUNGARICA, 1995, 69 (1-2) : 127 - 134
  • [7] A GENERALIZED MACLAURIN TRANSFORM FOR SOLVING DIFFERENCE-EQUATIONS
    HEATHERLY, HE
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1980, 310 (4-5): : 233 - 237
  • [8] Difference oscillator in terms of the Meixner polynomials
    Atakishiyev, NM
    Jafarov, EI
    Nagiyev, SM
    Wolf, EB
    [J]. PHOTONIC QUANTUM COMPUTING II, 1998, 3385 : 120 - 127
  • [9] DIFFERENCE EQUATION FOR MODIFICATIONS OF MEIXNER POLYNOMIALS
    ALVAREZNODARSE, R
    MARCELLAN, F
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 194 (01) : 250 - 258
  • [10] Generalized Meixner-Pollaczek polynomials
    Kanas, Stanislawa
    Tatarczak, Anna
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2013,
12345