Rational extensions of the Dunkl oscillator in the plane and exceptional orthogonal polynomials

被引：0
|
作者：
Quesne, C. [1 ]
机构：
[1] Physique Nucléaire Théorique et Physique Mathématique, Université Libre de Bruxelles, Campus de la Plaine CP229, Boulevard du Triomphe, Brussels,B-1050, Belgium
来源：
arXiv | 2023年
关键词：
Compilation and indexing terms; Copyright 2025 Elsevier Inc;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Orthogonal functions - Polynomials
引用
收藏
相关论文
共 50 条
  • [31] The Dunkl Oscillator in the Plane II: Representations of the Symmetry Algebra
    Vincent X. Genest
    Mourad E. H. Ismail
    Luc Vinet
    Alexei Zhedanov
    Communications in Mathematical Physics, 2014, 329 : 999 - 1029
  • [32] Solvable rational extensions of the isotonic oscillator
    Grandati, Yves
    ANNALS OF PHYSICS, 2011, 326 (08) : 2074 - 2090
  • [33] Diverse characterizations of Q-Dunkl classical orthogonal polynomials
    Souissi, Jihad
    Hamdi, Sabrine
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2024, 30 (09) : 1253 - 1284
  • [34] Rodrigues formula for the Dunkl-classical symmetric orthogonal polynomials
    Sghaier, Mabrouk
    FILOMAT, 2013, 27 (07) : 1285 - 1290
  • [35] The Dunkl Oscillator in the Plane II: Representations of the Symmetry Algebra
    Genest, Vincent X.
    Ismail, Mourad E. H.
    Vinet, Luc
    Zhedanov, Alexei
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2014, 329 (03) : 999 - 1029
  • [36] SECOND STRUCTURE RELATION FOR THE DUNKL-CLASSICAL ORTHOGONAL POLYNOMIALS
    Habbachi, Y.
    PROBLEMY ANALIZA-ISSUES OF ANALYSIS, 2023, 12 (03): : 86 - 104
  • [37] WITHDRAWN: Classification of nonsymmetric Dunkl-classical orthogonal polynomials
    Bouras, B.
    Habbachi, Y.
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2017, 23 (07) : 1143 - 1160
  • [38] Orthogonal polynomials and generalized oscillator algebras
    Borzov, VV
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2001, 12 (02) : 115 - 138
  • [39] A new commutativity property of exceptional orthogonal polynomials
    M. M. Castro
    F. A. Grünbaum
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2024, 118
  • [40] Supersymmetry and shape invariance of exceptional orthogonal polynomials
    Yadav, Satish
    Khare, Avinash
    Mandal, Bhabani Prasad
    ANNALS OF PHYSICS, 2022, 444
12345