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1

Dynamical symmetry of anisotropic singular oscillator

O.F. Gal'bert, Ya.I. Granovskii, A.S. Zhedanov

Journal:

Physics Letters A

Year:

1991

Language:

english

File:

PDF, 253 KB

english, 1991

2

Zeros and orthogonality of the Askey-Wilson polynomials for $q$ a root of unity

Spiridonov, Vyacheslav, Zhedanov, Alexei

Journal:

Duke Mathematical Journal

Year:

1997

Language:

english

File:

PDF, 1.60 MB

english, 1997

3

A characterization of classical and semiclassical orthogonal polynomials from their dual polynomials

Luc Vinet, Alexei Zhedanov

Journal:

Journal of Computational and Applied Mathematics

Year:

2004

Language:

english

File:

PDF, 213 KB

english, 2004

4

Boundary-value problems for the string equation, the Poncelet problem, and the Pell-Abel equation: Links and relations

V. P. Burskii, A. S. Zhedanov

Journal:

Journal of Mathematical Sciences

Year:

2008

Language:

english

File:

PDF, 110 KB

english, 2008

5

Elliptic grids, rational functions, and the Padé interpolation

V. P. Spiridonov, A. S. Zhedanov

Journal:

The Ramanujan Journal

Year:

2007

Language:

english

File:

PDF, 409 KB

english, 2007

6

Elliptic polynomials orthogonal on the unit circle with

Alexei Zhedanov

Journal:

The Ramanujan Journal

Year:

2009

Language:

english

File:

PDF, 563 KB

english, 2009

7

The linear pencil approach to rational interpolation

Bernhard Beckermann, Maxim Derevyagin, Alexei Zhedanov

Journal:

Journal of Approximation Theory

Year:

2010

Language:

english

File:

PDF, 519 KB

english, 2010

8

Dunkl shift operators and Bannai–Ito polynomials

Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov

Journal:

Advances in Mathematics

Year:

2012

Language:

english

File:

PDF, 245 KB

english, 2012

9

The multivariate Krawtchouk polynomials as matrix elements of the rotation group representations on oscillator states

Genest, Vincent X, Vinet, Luc, Zhedanov, Alexei

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2013

Language:

english

File:

PDF, 314 KB

english, 2013

10

Elliptic solutions of the Toda chain and a generalization of the Stieltjes–Carlitz polynomials

Alexei Zhedanov

Journal:

The Ramanujan Journal

Year:

2014

Language:

english

File:

PDF, 1.04 MB

english, 2014

11

On Dirichlet, Poncelet and Abel problems

Burskii, Vladimir P., Zhedanov, Alexei S.

Journal:

Communications on Pure and Applied Analysis

Year:

2012

Language:

english

File:

PDF, 697 KB

english, 2012

12

The singular and the 2:1 anisotropic Dunkl oscillators in the plane

Genest, Vincent X, Vinet, Luc, Zhedanov, Alexei

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2013

Language:

english

File:

PDF, 255 KB

english, 2013

13

Jordan algebras and orthogonal polynomials

Tsujimoto, Satoshi, Vinet, Luc, Zhedanov, Alexei

Journal:

Journal of Mathematical Physics

Year:

2011

Language:

english

File:

PDF, 354 KB

english, 2011

14

Automorphisms of the Heisenberg–Weyl algebra and d-orthogonal polynomials

Vinet, Luc, Zhedanov, Alexei

Journal:

Journal of Mathematical Physics

Year:

2009

Language:

english

File:

PDF, 426 KB

english, 2009

15

Generalized Little q-Jacobi Polynomials as Eigensolutions of Higher-Order q-Difference Operators

Luc Vinet and Alexei Zhedanov

Journal:

Proceedings of the American Mathematical Society

Year:

2001

Language:

english

File:

PDF, 267 KB

english, 2001

16

\(q\)-Rotations and Krawtchouk polynomials

Genest, Vincent X., Post, Sarah, Vinet, Luc, Yu, Guo-Fu, Zhedanov, Alexei

Journal:

The Ramanujan Journal

Year:

2016

Language:

english

File:

PDF, 293 KB

english, 2016

17

The equitable Racah algebra from three $\mathfrak {su}(1,1)$ algebras

Genest, Vincent X, Vinet, Luc, Zhedanov, Alexei

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2014

Language:

english

File:

PDF, 189 KB

english, 2014

18

A limit $q=-1$ for the big $q$-Jacobi polynomials

Vinet, Luc, Zhedanov, Alexei

Journal:

Transactions of the American Mathematical Society

Year:

2012

Language:

english

File:

PDF, 243 KB

english, 2012

19

Hidden symmetry algebra and overlap coefficients for two ring-shaped potentials

Year:

1993

Language:

english

File:

PDF, 372 KB

english, 1993

20

The Quantum Superalgebra\({\mathfrak{osp}_{q}(1|2)}\)and aq-Generalization of the Bannai–Ito Polynomials

Genest, Vincent X., Vinet, Luc, Zhedanov, Alexei

Journal:

Communications in Mathematical Physics

Year:

2016

Language:

english

File:

PDF, 529 KB

english, 2016

21

The Racah algebra and superintegrable models

Genest, Vincent X, Vinet, Luc, Zhedanov, Alexei

Journal:

Journal of Physics Conference Series

Year:

2014

Language:

english

File:

PDF, 714 KB

english, 2014

22

Discrete Reflectionless Potentials, Quantum Algebras, and q-Orthogonal Polynomials

V. Spiridonov, A. Zhedanov

Journal:

Annals of Physics

Year:

1995

File:

PDF, 904 KB

1995

23

On the Polynomials Orthogonal on Regular Polygons

Alexei Zhedanov

Journal:

Journal of Approximation Theory

Year:

1999

Language:

english

File:

PDF, 117 KB

english, 1999

24

On Some Classes of Polynomials Orthogonal on Arcs of the Unit Circle Connected with Symmetric Orthogonal Polynomials on an Interval

Alexei Zhedanov

Journal:

Journal of Approximation Theory

Year:

1998

Language:

english

File:

PDF, 404 KB

english, 1998

25

Biorthogonal Rational Functions and the Generalized Eigenvalue Problem

Alexei Zhedanov

Journal:

Journal of Approximation Theory

Year:

1999

Language:

english

File:

PDF, 170 KB

english, 1999

26

Mutual integrability, quadratic algebras, and dynamical symmetry

Ya.I Granovskii, I.M Lutzenko, A.S Zhedanov

Journal:

Annals of Physics

Year:

1992

Language:

english

File:

PDF, 1.05 MB

english, 1992

27

Bogoliubov q-transformation and Clebsch-Gordan coefficients for a q-oscillator

Journal:

Physics Letters A

Year:

1992

Language:

english

File:

PDF, 339 KB

english, 1992

28

On the realization of the Weyl commutation relation HR = qRH

Journal:

Physics Letters A

Year:

1993

Language:

english

File:

PDF, 207 KB

english, 1993

29

On the spectrum of a q-scillator with a linear interaction

I. Lutzenko, V. Spiridonov, A. Zhedanov

Journal:

Physics Letters A

Year:

1995

Language:

english

File:

PDF, 536 KB

english, 1995

30

Biorthogonality of the Lagrange interpolants

Alexei Zhedanov

Journal:

Journal of Computational and Applied Mathematics

Year:

2004

Language:

english

File:

PDF, 190 KB

english, 2004

31

Generalized Bochner theorem: Characterization of the Askey–Wilson polynomials

Luc Vinet, Alexei Zhedanov

Journal:

Journal of Computational and Applied Mathematics

Year:

2008

Language:

english

File:

PDF, 184 KB

english, 2008

32

An operator approach to multipoint Padé approximations

Maxim S. Derevyagin, Alexei S. Zhedanov

Journal:

Journal of Approximation Theory

Year:

2009

Language:

english

File:

PDF, 744 KB

english, 2009

33

Discrete versus continuous antiferromagnetic domain wall

T.K. Soboleva, A.S. Zhedanov

Journal:

Physics Letters A

Year:

1996

Language:

english

File:

PDF, 472 KB

english, 1996

34

Spectral transformations of the Laurent biorthogonal polynomials. I. q-Appel polynomials

Luc Vinet, Alexei Zhedanov

Journal:

Journal of Computational and Applied Mathematics

Year:

2001

Language:

english

File:

PDF, 123 KB

english, 2001

35

A method to study the Krall and q-Krall polynomials

Luc Vinet, Oksana Yermolayeva, Alexei Zhedanov

Journal:

Journal of Computational and Applied Mathematics

Year:

2001

Language:

english

File:

PDF, 103 KB

english, 2001

36

Rational spectral transformations and orthogonal polynomials

Alexei Zhedanov

Journal:

Journal of Computational and Applied Mathematics

Year:

1997

Language:

english

File:

PDF, 1.14 MB

english, 1997

37

The “classical” Laurent biorthogonal polynomials

Alexei Zhedanov

Journal:

Journal of Computational and Applied Mathematics

Year:

1998

Language:

english

File:

PDF, 1.13 MB

english, 1998

38

A method of constructing Krall's polynomials

Alexei Zhedanov

Journal:

Journal of Computational and Applied Mathematics

Year:

1999

Language:

english

File:

PDF, 142 KB

english, 1999

39

q-Ultraspherical polynomials forqa root of unity

Vyacheslav Spiridonov, Alexei Zhedanov

Journal:

Letters in Mathematical Physics

Year:

1996

Language:

english

File:

PDF, 361 KB

english, 1996

40

Difference schrödinger operators with linear and exponential discrete spectra

Vyacheslav Spiridonov, Luc Vinet, Alexei Zhedanov

Journal:

Letters in Mathematical Physics

Year:

1993

Language:

english

File:

PDF, 544 KB

english, 1993

41

Stability of the antiferromagnetic state of finite spin chains

A. S. Zhedanov, A. N. Maluk

Journal:

Theoretical and Mathematical Physics

Year:

1998

Language:

english

File:

PDF, 202 KB

english, 1998

42

Integrable discrete time chains for the Frobenius-Stickelberger-Thiele polynomials

V. P. Spiridonov, S. Tsujimoto, A. S. Zhedanov

Journal:

Communications in Mathematical Physics

Year:

2007

Language:

english

File:

PDF, 275 KB

english, 2007

43

Spectral Transformation Chains and Some New Biorthogonal Rational Functions

Vyacheslav Spiridonov, Alexei Zhedanov

Journal:

Communications in Mathematical Physics

Year:

2000

Language:

english

File:

PDF, 247 KB

english, 2000

44

Toda chain, Stieltjes function, and orthogonal polynomials

F. Peherstorfer, V. P. Spiridonov, A. S. Zhedanov

Journal:

Theoretical and Mathematical Physics

Year:

2007

Language:

english

File:

PDF, 498 KB

english, 2007

45

On Dirichlet problem for string equation, Poncelet problem, Pell-Abel equation, and some other related problems

V. P. Burskii, A. S. Zhedanov

Journal:

Ukrainian Mathematical Journal

Year:

2006

Language:

english

File:

PDF, 285 KB

english, 2006

46

An Integrable Chain and Bi-Orthogonal Polynomials

Luc Vinet, Alexei Zhedanov

Journal:

Letters in Mathematical Physics

Year:

1998

Language:

english

File:

PDF, 91 KB

english, 1998

47

Two-Dimensional Krall–Sheffer Polynomials andQuantum Systems on Spaces with Constant Curvature

Luc Vinet, Alexei Zhedanov

Journal:

Letters in Mathematical Physics

Year:

2003

Language:

english

File:

PDF, 122 KB

english, 2003

48

Parametric instability of linear systems in quantum theory

Ya. I. Granovskii, Yu. A. Dimashko, A. S. Zhedanov

Journal:

Russian Physics Journal

Year:

1980

Language:

english

File:

PDF, 690 KB

english, 1980

49

Orthogonal polynomials in the lie algebras

Ya. I. Granovskii, A. S. Zhedanov

Journal:

Russian Physics Journal

Year:

1986

Language:

english

File:

PDF, 516 KB

english, 1986

50

“Hidden symmetry” of Askey-Wilson polynomials

Journal:

Theoretical and Mathematical Physics

Year:

1991

Language:

english

File:

PDF, 892 KB

english, 1991

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