ON A MULTIVARIABLE EXTENSION OF THE HERMITE AND RELATED POLYNOMIALS

被引：0
|
作者：
Altin, Abdullah [1 ]
Aktas, Rabia [1 ]
Cekim, Bayram [2 ]
机构：
[1] Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey
[2] Gazi Univ, Fac Sci & Arts, Dept Math, TR-06500 Ankara, Turkey
来源：
ARS COMBINATORIA | 2013年 / 110卷
关键词：
Hermite polynomials; Gegenbauer polynomials; Extended Jacobi polynomials; Chan-Chyan-Srivastava polynomials; generating function; integral representation; recurrence relation; GENERATING-FUNCTIONS; FAMILIES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, some limit relations between multivariable Hermite polynomials (MHP) and some other multivariable polynomials are given, a class of multivariable polynomials is defined via generating function, which include (MHP) and multivariable Gegenbauer polynomials (MGP) and with the help of this generating function various recurrence relations are obtained to this class. Integral representations of MHP and MGP are also given. Furthermore, general families of multilinear and multilateral generating functions are obtained and their applications are presented.
引用
收藏
页码：487 / 503
页数：17
相关论文
共 50 条
  • [31] An Alternative Definition of the Hermite Polynomials Related to the Dunkl Laplacian
    Bie, Hendrik D. E.
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2008, 4
  • [32] On generalized Lagrange-Hermite-Bernoulli and related polynomials
    Khan, Waseem A.
    Pathan, M. A.
    ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, 2019, 23 (02): : 211 - 224
  • [33] Frobenious-Euler Type Polynomials Related to Hermite-Bernoulli Polynomials
    Kurt, Burak
    Simsek, Yilmaz
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS A-C, 2011, 1389
  • [34] Hermite polynomials
    Fisk, S
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2000, 91 (1-2) : 334 - 336
  • [35] Louck Polynomials and Hermite Polynomials
    Yang, Lingling
    PROCEEDINGS OF THE SECOND INTERNATIONAL CONFERENCE ON MODELLING AND SIMULATION (ICMS2009), VOL 2, 2009, : 178 - 181
  • [36] Certain Properties and Characterizations of Multivariable Hermite-Based Appell Polynomials via Factorization Method
    Zayed, Mohra
    Wani, Shahid Ahmad
    Mahnashi, Ali M.
    FRACTAL AND FRACTIONAL, 2023, 7 (08)
  • [37] ON HERMITE-HERMITE MATRIX POLYNOMIALS
    Metwally, M. S.
    Mohamed, M. T.
    Shehata, A.
    MATHEMATICA BOHEMICA, 2008, 133 (04): : 421 - 434
  • [38] OPERATIONAL DERIVATION OF GENERATING RELATIONS OF ORTHOGONAL POLYNOMIALS RELATED TO ULTRASPHERICAL AND HERMITE-POLYNOMIALS
    HUSSAIN, MA
    SRIVASTAVA, AN
    SINGH, SD
    SINGH, SN
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1980, 11 (10): : 1325 - 1328
  • [39] Hermite-based hybrid polynomials and some related properties
    Mumtaz Riyasat
    Subuhi Khan
    Shakir Shah
    Bollettino dell'Unione Matematica Italiana, 2020, 13 : 193 - 212
  • [40] Hermite-based hybrid polynomials and some related properties
    Riyasat, Mumtaz
    Khan, Subuhi
    Shah, Shakir
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2020, 13 (02): : 193 - 212
12345