2026 Alexei Zhedanov: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	45	1478	1272	80	78	217	7837

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

1478

1272

217

7837

Overview

Alexei Zhedanov is affiliated with the Euler International Mathematical Institute of the Russian Federation and contributes extensively to the fields of Mathematics and Physics and Astronomy. Their research spans several specialized areas, including Applied Mathematics, Algebra and Number Theory, Atomic and Molecular Physics and Optics, Statistical and Nonlinear Physics, and Computational Theory and Mathematics.

The scientist's work covers a range of advanced mathematical and physical topics. Major research themes include:

Mathematical functions and polynomials
Quantum Mechanics and Non-Hermitian Physics
Nonlinear Waves and Solitons
Advanced Mathematical Identities
Mathematical Analysis and Transform Methods
Polynomial and algebraic computation
Advanced Topics in Algebra

Zhedanov has published numerous papers in well-recognized venues, with a notable presence in:

arXiv (Cornell University)
Proceedings of the American Mathematical Society
Journal of Mathematical Analysis and Applications
The Ramanujan Journal
Journal of Mathematical Physics

Selected recent publications include:

"An algebraic description of the bispectrality of the biorthogonal rational functions of Hahn type," 2020, Proceedings of the American Mathematical Society
"Bispectrality and biorthogonality of the rational functions of q-Hahn type," 2022, Journal of Mathematical Analysis and Applications
"The rational Heun operator and Wilson biorthogonal functions," 2021, The Ramanujan Journal
"The rational Sklyanin algebra and the Wilson and para-Racah polynomials," 2022, Journal of Mathematical Physics
"A classical model for perfect transfer and fractional revival based on q-Racah polynomials," 2022, Physics Letters A

Collaborations are an important aspect of Zhedanov's research. Frequent coauthors include:

Luc Vinet
Satoshi Tsujimoto
Meri Zaimi
Julien Gaboriaud

Zhedanov's work often intersects algebraic structures with applications in physics, exploring operators, polynomials, and functions with analytical and physical significance. The scientist contributes to advancing understanding in both theoretical mathematical constructs and their implications for quantum and nonlinear physical systems.

Best Publications

A 'missing' family of classical orthogonal polynomials

Luc Vinet;Alexei Zhedanov

1397
Citations
“Hidden symmetry” of Askey-Wilson polynomials

A. S. Zhedanov

277
Citations
Rational spectral transformations and orthogonal polynomials

Alexei Zhedanov

261
Citations
Mutual integrability, quadratic algebras, and dynamical symmetry

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

210
Citations
Exceptional Laguerre and Jacobi polynomials and the corresponding potentials through Darboux–Crum transformations

Ryu Sasaki;Satoshi Tsujimoto;Alexei Zhedanov

185
Citations
The Dunkl oscillator in the plane I : superintegrability, separated wavefunctions and overlap coefficients

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

165
Citations
Regular Article: Biorthogonal Rational Functions and the Generalized Eigenvalue Problem

Alexei Zhedanov

139
Citations
Spectral Transformation Chains and Some New Biorthogonal Rational Functions

Vyacheslav Spiridonov;Alexei Zhedanov

133
Citations
Discrete Darboux transformations, the discrete-time Toda lattice, and the Askey-Wilson polynomials

Vyacheslav Spiridonov;Alexei Zhedanov

132
Citations
Dunkl shift operators and Bannai–Ito polynomials

Satoshi Tsujimoto;Luc Vinet;Alexei Zhedanov

130
Citations
Quadratic algebra as a 'hidden' symmetry of the Hartmann potential

Y I Granovskii;A S Zhedanov;I M Lutzenko

127
Citations
The Dunkl Oscillator in the Plane II: Representations of the Symmetry Algebra

Vincent X. Genest;Mourad E. H. Ismail;Mourad E. H. Ismail;Luc Vinet;Alexei Zhedanov

111
Citations
Nature of the symmetry group of the 6j-symbol

Ya. A. Granovskii;A. S. Zhedanov

105
Citations
How to construct spin chains with perfect state transfer

Luc Vinet;Alexei Zhedanov

103
Citations
Superintegrability in Two Dimensions and the Racah–Wilson Algebra

Vincent X. Genest;Luc Vinet;Alexei Zhedanov

102
Citations
Linear covariance algebra for SLq(2)

Ya I Granovskii;A S Zhedanov

91
Citations
Hidden symmetry algebra and overlap coefficients for two ring-shaped potentials

A S Zhedanov

88
Citations
A LIMIT q = −1 FOR THE BIG Q-JACOBI POLYNOMIALS

Luc Vinet;Alexei Zhedanov

83
Citations
A method of constructing Krall's polynomials

Alexei Zhedanov

83
Citations
The Bannai-Ito polynomials as Racah coefficients of the sl_{-1}(2) algebra

Vincent X. Genest;Luc Vinet;Alexei Zhedanov

82
Citations

Frequent Co-Authors

Luc Vinet University of Montreal

Vyacheslav P. Spiridonov Joint Institute for Nuclear Research

Mourad E. H. Ismail University of Louisiana at Lafayette

A. D. Mironov P.N. Lebedev Physical Institute of the Russian Academy of Sciences

Matthias Christandl University of Copenhagen

John Harnad University of Montreal

Ryu Sasaki Tokyo University of Science

F. Alberto Grünbaum University of California, Berkeley

External Links

Personal website of Alexei Zhedanov Google Scholar page

If you think any of the details on this page are incorrect, let us know.

Related Online Degrees & Career Pathways

For students pursuing Mathematics in the USA, exploring related online degrees can broaden career options significantly. Many find that combining mathematical expertise with business skills is valuable, making programs like the cheapest 1 year online MBA programs attractive for advancing leadership roles swiftly and affordably.

Flexibility is also crucial for many learners, which is why understanding policies around MBA transfer credits can ease the path to graduation by recognizing prior coursework.

In addition, data-driven careers have surged in demand. Pursuing a specialized degree, such as one from the top data analytics masters programs, complements mathematical skills by focusing on interpreting big data and informing strategic decisions.

For those seeking accessible educational options, considering the easiest MBA programs might make balancing studies with professional goals more manageable without compromising quality.