Alexei Zhedanov

发表

A note on $\mathfrak{su}(2)$ models and the biorthogonality of generating functions of Krawtchouk polynomials

Luc Vinet, Alexei Zhedanov, 2021 .

Analytic “Newton’s cradles” with perfect transfer and fractional revival

Luc Vinet, Alexei Zhedanov, Hugo Sch'erer, 2021, Annals of Physics.

The rational Sklyanin algebra and the Wilson and para-Racah polynomials

Luc Vinet, Alexei Zhedanov, Geoffroy Bergeron, 2021, Journal of Mathematical Physics.

Para-orthogonal polynomials on the unit circle generated by Kronecker polynomials

Alexei Zhedanov, 2021 .

An algebraic interpretation of the intertwining operators associated with the discrete Fourier transform

Natig Atakishiyev, Alexei Zhedanov, Mesuma Atakishiyeva, 2021 .

Ramanujan's trigonometric sums and para-orthogonal polynomials on the unit circle

Alexei Zhedanov, 2021 .

Solvability in classical mechanics and algebraic Heun observables

Luc Vinet, Alexei Zhedanov, L. Vinet, 2021, 2110.01153.

Orthogonal polynomials and the deformed Jordan plane

Luc Vinet, Alexei Zhedanov, Geoffroy Bergeron, 2021, Journal of Mathematical Analysis and Applications.

An algebraic treatment of the Askey biorthogonal polynomials on the unit circle

Luc Vinet, Alexei Zhedanov, L. Vinet, 2021, Forum of Mathematics, Sigma.

A classical model for perfect transfer and fractional revival based on $q$-Racah polynomials

Luc Vinet, Alexei Zhedanov, Hugo Sch'erer, 2021 .

Exceptional Laguerre and Jacobi polynomials and the corresponding potentials through Darboux–Crum transformations

Ryu Sasaki, Satoshi Tsujimoto, Alexei Zhedanov, 2010 .

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

Luc Vinet, Alexei Zhedanov, L. Vinet, 2013, 1306.4256.

Bispectrality and Darboux transformations in the theory of orthogonal polynomials

Luc Vinet, Alexei Zhedanov, Vyacheslav P. Spiridonov, 1998 .

Spectral Transformation Chains and Some New Biorthogonal Rational Functions

Alexei Zhedanov, Vyacheslav P. Spiridonov, A. Zhedanov, 2000 .

Discrete Darboux transformations, the discrete-time Toda lattice, and the Askey-Wilson polynomials

Alexei Zhedanov, Vyacheslav P. Spiridonov, A. Zhedanov, 1994 .

How to construct spin chains with perfect state transfer

Luc Vinet, Alexei Zhedanov, L. Vinet, 2011, 1110.6474.

Quantum spin chains with fractional revival

Luc Vinet, Alexei Zhedanov, L. Vinet, 2015, 1507.05919.

Classical Orthogonal Polynomials and Bannai-Ito Polynomials

Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov, 2012 .

SPECTRAL TRANSFORMATIONS, SELF-SIMILAR REDUCTIONS AND ORTHOGONAL POLYNOMIALS

Luc Vinet, Alexei Zhedanov, Vyacheslav P. Spiridonov, 1997 .

Regular Article: Biorthogonal Rational Functions and the Generalized Eigenvalue Problem

Alexei Zhedanov, 1999 .

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

Alexei Zhedanov, A. Zhedanov, 1998 .

Analytic next-to-nearest-neighbor X X models with perfect state transfer and fractional revival

Matthias Christandl, Luc Vinet, Alexei Zhedanov, 2016, 1607.02639.

Rational spectral transformations and orthogonal polynomials

Alexei Zhedanov, A. Zhedanov, 1997 .

A method of constructing Krall's polynomials

Alexei Zhedanov, A. Zhedanov, 1999 .

Almost perfect state transfer in quantum spin chains

Luc Vinet, Alexei Zhedanov, L. Vinet, 2012, 1205.4680.