Zhedanov Aleksei Sergeevich

Publications in Math-Net.Ru

1. Para-Bannai–Ito Polynomials
   
   SIGMA, 19 (2023), 090, 19 pp.
2. An Explicit Example of Polynomials Orthogonal on the Unit Circle with a Dense Point Spectrum Generated by a Geometric Distribution
   
   SIGMA, 16 (2020), 140, 9 pp.
3. Hypergeometric Orthogonal Polynomials with respect to Newtonian Bases
   
   SIGMA, 12 (2016), 048, 14 pp.
4. Embeddings of the Racah Algebra into the Bannai–Ito Algebra
   
   SIGMA, 11 (2015), 050, 11 pp.
5. A “Continuous” Limit of the Complementary Bannai–Ito Polynomials: Chihara Polynomials
   
   SIGMA, 10 (2014), 038, 18 pp.
6. Bispectrality of the Complementary Bannai–Ito Polynomials
   
   SIGMA, 9 (2013), 018, 20 pp.
7. From $sl_q(2)$ to a Parabosonic Hopf Algebra
   
   SIGMA, 7 (2011), 093, 13 pp.
8. A Bochner Theorem for Dunkl Polynomials
   
   SIGMA, 7 (2011), 020, 9 pp.
9. Elliptic Hypergeometric Laurent Biorthogonal Polynomials with a Dense Point Spectrum on the Unit Circle
   
   SIGMA, 5 (2009), 033, 30 pp.
10. Quasi-Linear Algebras and Integrability (the Heisenberg Picture)
    
    SIGMA, 4 (2008), 015, 22 pp.
11. Elliptic Biorthogonal Polynomials Connected with Hermite's Continued Fraction
    
    SIGMA, 3 (2007), 003, 18 pp.
12. Toda chain, Stieltjes function, and orthogonal polynomials
    
    TMF, 151:1 (2007),  81–108
13. Boundary value problems for string equation, Poncelet problem, and Pell–Abel equation: links and relations
    
    CMFD, 16 (2006),  5–9
14. Dirichlet and Neumann Problems for String Equation, Poncelet Problem and Pell–Abel Equation
    
    SIGMA, 2 (2006), 041, 5 pp.
15. Hypergeometric biorthogonal rational functions
    
    Uspekhi Mat. Nauk, 54:2(326) (1999),  173–174
16. Stability of the antiferromagnetic state of finite spin chains
    
    TMF, 115:2 (1998),  275–279
17. Weyl shift of $q$-oscillator and $q$-polynomials
    
    TMF, 94:2 (1993),  307–315
18. Quadratic algebras and dynamics in curved spaces. II. The Kepler problem
    
    TMF, 91:3 (1992),  396–410
19. Quadratic algebras and dynamics in curved spaces. I. Oscillator
    
    TMF, 91:2 (1992),  207–216
20. “Hidden symmetry” of Askey–Wilson polynomials
    
    TMF, 89:2 (1991),  190–204
21. The Toda chain: Solutions with dynamical symmetry and classical orthogonal polynomials
    
    TMF, 82:1 (1990),  11–17
22. Solutions of domain type in anisotropic magnetic chains
    
    TMF, 71:1 (1987),  143–153