Alexei S. Zhedanov

Applied Mathematics · 2000–2013

A researcher in the Science corpus: 7 papers; trusts 7 researchers and is trusted by 10 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 23 citations into it; #1,946 of 7,620 by trust here, #2,098 by citations
• Computational Theory and Mathematics — 13 citations into it
• Atomic and Molecular Physics, and Optics — 10 citations into it; #1,079 of 7,135 by trust here, #3,301 by citations
• Statistical and Nonlinear Physics — 10 citations into it; #2,044 of 10,127 by trust here, #2,928 by citations
• Geometry and Topology — 8 citations into it

Whom Alexei S. Zhedanov trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Paul M. Terwilliger
2. Luc Vinet
3. Satoru Odake
4. Ryu Sasaki

Who trusts Alexei S. Zhedanov overall

1. V. Spiridonov
2. Paul M. Terwilliger
3. Eric M. Rains
4. Luc Vinet
5. J. F. van Diejen
6. Tailin Liang

Papers from Alexei S. Zhedanov's perspective

Ordered by how strongly the researchers Alexei S. Zhedanov trusts endorse each paper. Same corpus, a different order for every researcher.

1. Hypergeometric Orthogonal Polynomials
2. Modular Leonard triples
3. Introduction to Numerical Analysis
4. Orthogonal polynomials (NIST Handbook of Mathematical Functions)
5. Orthogonality of Jacobi polynomials with general parameters
6. Two linear transformations each tridiagonal with respect to an eigenbasis of the other; the TD- D canonical form and the LB- UB canonical form
7. Two linear transformations each tridiagonal with respect to an eigenbasis of the other: An Algebraic approach to the Askey scheme of orthogonal polynomials
8. A ‘missing’ family of classical orthogonal polynomials
9. AND T
10. An Algebraic Approach to the Askey Scheme of Orthogonal Polynomials

Their papers

• A Laplace-Dunkl Equation on S2 and the Bannai–Ito Algebra (2013) — 51 citations
• A LIMIT q = −1 FOR THE BIG Q-JACOBI POLYNOMIALS (2012) — 55 citations
• Dunkl shift operators and Bannai-Ito polynomials (2011) — 105 citations
• A ‘missing’ family of classical orthogonal polynomials (2010) — 1,242 citations
• Exceptional Laguerre and Jacobi polynomials and the corresponding potentials through Darboux–Crum transformations (2010) — 156 citations
• A characterization of classical and semiclassical orthogonal polynomials from their dual polynomials (2004) — 59 citations
• Spectral Transformation Chains and Some New Biorthogonal Rational Functions (2000) — 126 citations