His primary scientific interests are in Pure mathematics, Orthogonal polynomials, Algebra, Jacobi polynomials and Classical orthogonal polynomials. His Pure mathematics study combines topics from a wide range of disciplines, such as Discrete mathematics and Generalization. His research in Orthogonal polynomials intersects with topics in Simple and Recurrence relation.
The study incorporates disciplines such as Hopf algebra, Algebra over a field, Filtered algebra and Cellular algebra in addition to Algebra. His work carried out in the field of Jacobi polynomials brings together such families of science as Differential operator and Eigenvalues and eigenvectors. His work deals with themes such as Hahn polynomials, Closure and Schrödinger's cat, which intersect with Discrete orthogonal polynomials.
Alexei Zhedanov mostly deals with Orthogonal polynomials, Pure mathematics, Algebra, Classical orthogonal polynomials and Jacobi polynomials. His study in Orthogonal polynomials concentrates on Discrete orthogonal polynomials, Wilson polynomials, Hahn polynomials, Difference polynomials and Gegenbauer polynomials. The Hahn polynomials study combines topics in areas such as Kravchuk polynomials and Meixner polynomials.
His Pure mathematics research incorporates themes from Recurrence relation, Quadratic equation, Orthogonality and Generalization. His Algebra research includes themes of Algebra over a field and Filtered algebra. His Jacobi polynomials study deals with Eigenvalues and eigenvectors intersecting with Differential operator.
Alexei Zhedanov mainly investigates Pure mathematics, Algebra, Orthogonal polynomials, Quadratic equation and Algebra over a field. His Pure mathematics study combines topics from a wide range of disciplines, such as Type and Algebraic number. Classical orthogonal polynomials is the focus of his Orthogonal polynomials research.
His studies deal with areas such as Isospectral and Inverse problem as well as Classical orthogonal polynomials. His research investigates the link between Quadratic equation and topics such as Truncation that cross with problems in Limit. His Algebra over a field research is multidisciplinary, incorporating elements of Embedding and Jacobi polynomials.
Alexei Zhedanov spends much of his time researching Algebra, Orthogonal polynomials, Pure mathematics, Algebra over a field and Quadratic equation. His Centralizer and normalizer study, which is part of a larger body of work in Algebra, is frequently linked to Duality, bridging the gap between disciplines. His Orthogonal polynomials research includes themes of Mathematical Operators and Quantum mechanics, Spin-½.
His Pure mathematics study integrates concerns from other disciplines, such as Orthogonality, Type, Separation of variables, Quantum and Generalization. His Algebra over a field research is multidisciplinary, incorporating perspectives in Askey–Wilson polynomials and Algebraic number. The various areas that Alexei Zhedanov examines in his Quadratic equation study include Truncation, Hypergeometric function, Wilson polynomials, Recurrence relation and Magnetic field.
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A 'missing' family of classical orthogonal polynomials
Luc Vinet;Alexei Zhedanov.
Journal of Physics A (2011)
“Hidden symmetry” of Askey-Wilson polynomials
A. S. Zhedanov.
Theoretical and Mathematical Physics (1991)
Rational spectral transformations and orthogonal polynomials
Journal of Computational and Applied Mathematics (1997)
Mutual integrability, quadratic algebras, and dynamical symmetry
Ya.I Granovskii;I.M Lutzenko;A.S Zhedanov.
Annals of Physics (1992)
Exceptional Laguerre and Jacobi polynomials and the corresponding potentials through Darboux–Crum transformations
Ryu Sasaki;Satoshi Tsujimoto;Alexei Zhedanov.
Journal of Physics A (2010)
Quadratic algebra as a 'hidden' symmetry of the Hartmann potential
Y I Granovskii;A S Zhedanov;I M Lutzenko.
Journal of Physics A (1991)
Discrete Darboux transformations, the discrete-time Toda lattice, and the Askey-Wilson polynomials
Vyacheslav Spiridonov;Alexei Zhedanov.
Methods and applications of analysis (1994)
Spectral Transformation Chains and Some New Biorthogonal Rational Functions
Vyacheslav Spiridonov;Alexei Zhedanov.
Communications in Mathematical Physics (2000)
Regular Article: Biorthogonal Rational Functions and the Generalized Eigenvalue Problem
Journal of Approximation Theory (1999)
Dunkl shift operators and Bannai–Ito polynomials
Satoshi Tsujimoto;Luc Vinet;Alexei Zhedanov.
Advances in Mathematics (2012)
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