Alexei Zhedanov: search on Z-Library

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1

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

2

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

3

Elliptic polynomials orthogonal on the unit circle with

Alexei Zhedanov

Journal:

The Ramanujan Journal

Year:

2009

Language:

english

File:

PDF, 563 KB

english, 2009

4

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

5

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

6

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

7

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

8

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

9

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

10

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

11

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

12

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

13

\(q\)-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

14

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

15

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

16

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

17

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

18

On the Polynomials Orthogonal on Regular Polygons

Alexei Zhedanov

Journal:

Journal of Approximation Theory

Year:

1999

Language:

english

File:

PDF, 117 KB

english, 1999

19

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

20

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

21

Biorthogonality of the Lagrange interpolants

Alexei Zhedanov

Journal:

Journal of Computational and Applied Mathematics

Year:

2004

Language:

english

File:

PDF, 190 KB

english, 2004

22

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

23

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

24

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

25

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

26

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

27

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

28

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

29

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

30

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

31

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

32

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

33

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

34

d-Orthogonal polynomials and

Vincent X. Genest, Luc Vinet, Alexei Zhedanov

Journal:

Journal of Mathematical Analysis and Applications

Year:

2012

Language:

english

File:

PDF, 254 KB

english, 2012

35

Non-Hermitian oscillator Hamiltonians and multiple Charlier polynomials

Hiroshi Miki, Luc Vinet, Alexei Zhedanov

Journal:

Physics Letters A

Year:

2011

Language:

english

File:

PDF, 163 KB

english, 2011

36

CMV Matrices and Little and Big −1 Jacobi Polynomials

Maxim Derevyagin, Luc Vinet, Alexei Zhedanov

Journal:

Constructive Approximation

Year:

2012

Language:

english

File:

PDF, 691 KB

english, 2012

37

Almost perfect state transfer in quantum spin chains

Vinet, Luc, Zhedanov, Alexei

Journal:

Physical Review A

Year:

2012

Language:

english

File:

PDF, 162 KB

english, 2012

38

Spectral transformations, self-similar reductions and orthogonal polynomials

Spiridonov, Vyacheslav, Vinet, Luc, Zhedanov, Alexei

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

1997

Language:

english

File:

PDF, 189 KB

english, 1997

39

Linear operator pencils on Lie algebras and Laurent biorthogonal polynomials

Grünbaum, F A, Vinet, Luc, Zhedanov, Alexei

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2004

Language:

english

File:

PDF, 175 KB

english, 2004

40

Dual -1 Hahn polynomials and perfect state transfer

Vinet, Luc, Zhedanov, Alexei

Journal:

Journal of Physics Conference Series

Year:

2012

Language:

english

File:

PDF, 617 KB

english, 2012

41

Two-dimensional Krall-Sheffer polynomials and integrable systems

Harnad, John, Vinet, Luc, Yermolayeva, Oksana, Zhedanov, Alexei

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2001

Language:

english

File:

PDF, 79 KB

english, 2001

42

Para-Krawtchouk polynomials on a bi-lattice and a quantum spin chain with perfect state transfer

Vinet, Luc, Zhedanov, Alexei

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2012

Language:

english

File:

PDF, 149 KB

english, 2012

43

Birth and death processes and quantum spin chains

Grünbaum, F. Alberto, Vinet, Luc, Zhedanov, Alexei

Journal:

Journal of Mathematical Physics

Year:

2013

Language:

english

File:

PDF, 459 KB

english, 2013

44

$lquot$Leonard pairs$rquot$ in classical mechanics

Zhedanov, Alexei, Korovnichenko, Alyona

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2002

Language:

english

File:

PDF, 191 KB

english, 2002

45

Representations of the Schrödinger group and matrix orthogonal polynomials

Vinet, Luc, Zhedanov, Alexei

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2011

Language:

english

File:

PDF, 405 KB

english, 2011

46

The Poncelet problem and the discrete-time pendulum

Vinet, Luc, Zhedanov, Alexei

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2009

Language:

english

File:

PDF, 232 KB

english, 2009

47

The Dunkl oscillator in the plane: I. Superintegrability, separated wavefunctions and overlap coefficients

Genest, Vincent X, Ismail, Mourad E H, Vinet, Luc, Zhedanov, Alexei

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2013

Language:

english

File:

PDF, 281 KB

english, 2013

48

An infinite family of superintegrable Hamiltonians with reflection in the plane

Post, Sarah, Vinet, Luc, Zhedanov, Alexei

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2011

Language:

english

File:

PDF, 219 KB

english, 2011

49

Supersymmetric quantum mechanics with reflections

Post, Sarah, Vinet, Luc, Zhedanov, Alexei

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2011

Language:

english

File:

PDF, 200 KB

english, 2011

50

Interbasis expansions for the isotropic 3D harmonic oscillator and bivariate Krawtchouk polynomials

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

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2014

Language:

english

File:

PDF, 239 KB

english, 2014