Generalized and mixed type Gegenbauer polynomials

被引：7
作者：
Khan, Subuhi [1 ]
Ai-Gonah, Ahmed Ali [1 ]
Yasmin, Ghazala [1 ]
机构：
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 390卷 / 01期
关键词：
Gegenbauer polynomials; Integral representations; Operational methods; Hermite-Gegenbauer polynomials; Laguerre-Gegenbauer polynomials; OPERATIONAL IDENTITIES; BIORTHOGONAL FUNCTIONS; HERMITE-POLYNOMIALS;
D O I：
10.1016/j.jmaa.2012.01.026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a new generalized form of the Gegenbauer polynomials is introduced by using the integral representation method. Further, the Hermite-Gegenbauer and the Laguerre-Gegenbauer polynomials are introduced by using the operational identities associated with the generalized Hermite and Laguerre polynomials of two variables. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：197 / 207
页数：11
相关论文
共 15 条
  • [1] Al-Gonah A.A., APPL MATH COMP UNPUB
  • [2] [Anonymous], TREATISE GENERATING
  • [3] Appell P., 1926, Fonctions hypergeometriques et hyperspheriques
  • [4] On the derivation of new families of generating functions involving ordinary Bessel functions and Bessel-Hermite functions
    Dattoli, G.
    Ricci, P. E.
    Khomasuridze, I.
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 2007, 46 (3-4) : 410 - 414
  • [5] Comments on monomiality, ordinary polynomials and associated bi-orthogonal functions
    Dattoli, G
    Germano, B
    Ricci, PE
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 154 (01) : 219 - 227
  • [6] A novel theory of Legendre polynomials
    Dattoli, G.
    Germano, B.
    Martinelli, M. R.
    Ricci, P. E.
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (1-2) : 80 - 87
  • [7] Hermite polynomials with more than two variables and associated bi-orthogonal functions
    Dattoli, G.
    Germano, B.
    Ricci, P. E.
    [J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2009, 20 (01) : 17 - 22
  • [8] Generalized polynomials and associated operational identities
    Dattoli, G
    Lorenzutta, S
    Mancho, AM
    Torre, A
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1999, 108 (1-2) : 209 - 218
  • [9] Dattoli G, 1997, RIV NUOVO CIMENTO, V20, P1
  • [10] Generalized polynomials, operational identities and their applications
    Dattoli, G
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 118 (1-2) : 111 - 123
12