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Kalnins Ernest G

Publications in Math-Net.Ru

  1. Toward Classification of 2nd Order Superintegrable Systems in 3-Dimensional Conformally Flat Spaces with Functionally Linearly Dependent Symmetry Operators

    SIGMA, 16 (2020), 135, 33 pp.
  2. Bôcher and Abstract Contractions of $2$nd Order Quadratic Algebras

    SIGMA, 13 (2017), 013, 38 pp.
  3. Bôcher Contractions of Conformally Superintegrable Laplace Equations

    SIGMA, 12 (2016), 038, 31 pp.
  4. Examples of Complete Solvability of 2D Classical Superintegrable Systems

    SIGMA, 11 (2015), 088, 51 pp.
  5. Structure Relations and Darboux Contractions for 2D 2nd Order Superintegrable Systems

    SIGMA, 11 (2015), 043, 33 pp.
  6. Contractions of 2D 2nd Order Quantum Superintegrable Systems and the Askey Scheme for Hypergeometric Orthogonal Polynomials

    SIGMA, 9 (2013), 057, 28 pp.
  7. Separation of Variables and Contractions on Two-Dimensional Hyperboloid

    SIGMA, 8 (2012), 105, 11 pp.
  8. Structure theory for extended Kepler–Coulomb 3D classical superintegrable systems

    SIGMA, 8 (2012), 034, 25 pp.
  9. Two-Variable Wilson Polynomials and the Generic Superintegrable System on the $3$-Sphere

    SIGMA, 7 (2011), 051, 26 pp.
  10. A Recurrence Relation Approach to Higher Order Quantum Superintegrability

    SIGMA, 7 (2011), 031, 24 pp.
  11. Tools for Verifying Classical and Quantum Superintegrability

    SIGMA, 6 (2010), 066, 23 pp.
  12. Structure Theory for Second Order 2D Superintegrable Systems with 1-Parameter Potentials

    SIGMA, 5 (2009), 008, 24 pp.
  13. Models for Quadratic Algebras Associated with Second Order Superintegrable Systems in 2D

    SIGMA, 4 (2008), 008, 21 pp.
  14. Jacobi elliptic coordinates, functions of Heun and Lamé type and the Niven transform

    Regul. Chaotic Dyn., 10:4 (2005),  487–508


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