DISTANCE-k GRAPHS OF HYPERCUBE AND q-HERMITE POLYNOMIALS

被引:2
|
作者
Lee, Hun Hee [1 ]
Obata, Nobuaki [2 ]
机构
[1] Chungbuk Natl Univ, Dept Math, Cheongju 361763, South Korea
[2] Tohoku Univ, Grad Sch Informat Sci, Sendai, Miyagi 9808579, Japan
关键词
Graph spectrum; hypercube; distance-k graph; q-Hermite polynomials;
D O I
10.1142/S0219025713500112
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We will prove that some weighted graphs on the distance-k graph of hypercubes approximate the q-Hermite polynomial of a q-gaussian variable by providing an appropriate matrix model.
引用
收藏
页数:12
相关论文
共 50 条
  • [21] Quantum algebra from generalized q-Hermite polynomials
    Mezlini, Kamel
    Azaiez, Najib Ouled
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 480 (01)
  • [22] ON THE q-HERMITE POLYNOMIALS AND THEIR RELATIONSHIP WITH SOME OTHER FAMILIES OF ORTHOGONAL POLYNOMIALS
    Szablowski, Pawel J. y
    DEMONSTRATIO MATHEMATICA, 2013, 46 (04) : 679 - 708
  • [23] Orthogonality Property of the Discrete q-Hermite Matrix Polynomials
    Salem, Ahmed
    Alzahrani, Faris
    El-Shahed, Moustafa
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2022, 2022
  • [24] GENERALIZED q-HERMITE POLYNOMIALS AND THE q-DUNKL HEAT EQUATION
    Jazmati, M. Saleh
    Mezlini, Kamel
    Bettaibi, Neji
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 6 (04): : 16 - 43
  • [25] Deformed algebras, q-hermite polynomials and q-Bessel functions
    Srinivasan, V
    Chaturvedi, S
    FRONTIERS OF FUNDAMENTAL PHYSICS 4, 2001, : 217 - 221
  • [26] The factorization of a q-difference equation for continuous q-Hermite polynomials
    Atakishiyev, M. N.
    Klimyk, A. U.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (31) : 9311 - 9317
  • [27] On Integral and Finite Fourier Transforms of Continuous q-Hermite Polynomials
    Atakishiyeva, M. K.
    Atakishiyev, N. M.
    PHYSICS OF ATOMIC NUCLEI, 2009, 72 (05) : 752 - 760
  • [28] SOME MULTILINEAR GENERATING-FUNCTIONS FOR Q-HERMITE POLYNOMIALS
    SRIVASTAVA, HM
    JAIN, VK
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 144 (01) : 147 - 157
  • [29] THE COMBINATORICS OF Q-HERMITE POLYNOMIALS AND THE ASKEY-WILSON INTEGRAL
    ISMAIL, MEH
    STANTON, D
    VIENNOT, G
    EUROPEAN JOURNAL OF COMBINATORICS, 1987, 8 (04) : 379 - 392
  • [30] On Rodriguez representations for discrete q-Hermite polynomials of type II
    Ey, K
    Ruffing, A
    DYNAMIC SYSTEMS AND APPLICATIONS, 2004, 13 (3-4): : 397 - 407