SPECTRAL ZETA-FUNCTIONS FOR Q-BESSEL EQUATIONS

被引:13
|
作者
KVITSINSKY, AA [1 ]
机构
[1] ST PETERSBURG STATE UNIV,INST PHYS,DEPT MATH & COMP PHYS,ST PETERSBURG 198904,RUSSIA
来源
关键词
D O I
10.1088/0305-4470/28/6/026
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Explicit formulae for the zeta functions of the zeros of Hahn-Exton and Jackson's q-Bessel functions are derived. They can be regarded as spectral sum rules for some discrete quantum billiards.
引用
收藏
页码:1753 / 1764
页数:12
相关论文
共 50 条
  • [41] Generalized q-Bernoulli Polynomials Generated by Jackson q-Bessel Functions
    Eweis, S. Z. H.
    Mansour, Z. S., I
    [J]. RESULTS IN MATHEMATICS, 2022, 77 (03)
  • [42] GENERALIZED q-BESSEL OPERATOR
    Dhaouadi, Lazhar
    Hleili, Manel
    [J]. BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 7 (01): : 20 - 37
  • [43] ON THE q-BESSEL FOURIER TRANSFORM
    Dhaouadi, Lazhar
    [J]. BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 5 (02): : 42 - 60
  • [44] QUANTUM ALGEBRA εq (2) AND 2D q-BESSEL FUNCTIONS
    Riyasat, Mumtaz
    Khan, Subuhi
    Nahid, Tabinda
    [J]. REPORTS ON MATHEMATICAL PHYSICS, 2019, 83 (02) : 191 - 206
  • [45] CLOSED TRIPLICITY OF FUNCTIONAL-EQUATIONS OF ZETA-FUNCTIONS
    LAVRIK, AF
    [J]. DOKLADY AKADEMII NAUK SSSR, 1989, 308 (05): : 1044 - 1046
  • [47] Functional equations for regularized zeta-functions and diffusion processes
    Saldivar, A.
    Svaiter, N. F.
    Zarro, C. A. D.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2020, 53 (23)
  • [48] Inclusion relations of q-Bessel functions associated with generalized conic domain
    Khan, Shahid
    Hussain, Saqib
    Darus, Maslina
    [J]. AIMS MATHEMATICS, 2021, 6 (04): : 3624 - 3640
  • [49] q-Bessel positive definite and Dq-completely monotonic functions
    Lazhar Dhaouadi
    Sana Guesmi
    Ahmed Fitouhi
    [J]. Positivity, 2012, 16 : 107 - 129