A Classical Limit of Noumi's q-Integral Operator

被引：2
|
作者：
Borodin, Alexei [1 ]
Corwin, Ivan [2 ,3 ,4 ]
Remenik, Daniel [5 ,6 ]
机构：
[1] MIT, Dept Math, Cambridge, MA 02139 USA
[2] Columbia Univ, Dept Math, New York, NY 10027 USA
[3] Clay Math Inst, Providence, RI 02903 USA
[4] Inst Poincare, F-75005 Paris, France
[5] Univ Chile, Dept Ingn Matemat, Santiago, Chile
[6] Univ Chile, Ctr Modelamiento Matemat, Santiago, Chile
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2015年 / 11卷
关键词：
Macdonald polynomials; Whittaker functions;
D O I：
10.3842/SIGMA.2015.098
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We demonstrate how a known Whittaker function integral identity arises from the t = 0 and q -> 1 limit of the Macdonald polynomial eigenrelation satisfied by Noumi's q-integral operator.
引用
收藏
页数：7
相关论文
共 50 条
  • [31] On connected bipartite Q-integral graphs
    Pervin, Jesmina
    Selvaganesh, Lavanya
    COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION, 2024,
  • [32] ON CERTAIN DUAL q-INTEGRAL EQUATIONS
    Ashour, Ola A.
    Ismail, Mourad E. H.
    Mansour, Zeinab S.
    PACIFIC JOURNAL OF MATHEMATICS, 2015, 275 (01) : 63 - 102
  • [33] On Some New q-Integral Inequalities
    Sulaiman, W. T.
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS A-C, 2011, 1389
  • [34] A fractional q-integral operator associated with a certain class of q-Bessel functions and q-generating series
    Al-Omari, Shrideh
    Suthar, Dayalal
    Araci, Serkan
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [35] A fractional q-integral operator associated with a certain class of q-Bessel functions and q-generating series
    Shrideh Al-Omari
    Dayalal Suthar
    Serkan Araci
    Advances in Difference Equations, 2021
  • [36] THE HOMOTOPY TYPE OF Q-INTEGRAL SPACES
    HAMM, HA
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1986, 364 : 1 - 9
  • [37] An inequality for q-integral and its applications
    Wang, Mingjin
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [38] Q-INTEGRAL EQUATIONS OF FRACTIONAL ORDERS
    Jleli, Mohamed
    Mursaleen, Mohammad
    Samet, Bessem
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
  • [39] k-uniformly multivalent functions involving Liu-Owa q-integral operator
    Cetinkayan, Asena
    TURKISH JOURNAL OF MATHEMATICS, 2022, 46 (01) : 24 - 35
  • [40] Asymptotic expansions for a class of q-integral transforms
    Bettaibi, Neji
    El Kamel, Jamel
    APPLIED MATHEMATICS AND COMPUTATION, 2008, 198 (01) : 433 - 444
12345