Conference abstracts

Session C7 - Special Functions and Orthogonal Polynomials

July 19, 17:00 ~ 17:30 - Room B5

Self-interlacing and Hurwitz stable polynomials in applications to orthogonal polynomials and integrable systems

Mikhail Tyaglov

Shanghai Jiao Tong University, China   -   tyaglov@sjtu.edu.cn

In the talk, we describe some interrelations between theory of orthogonal polynomials, moment theory, and the root distributions of polynomials. The recent discovered self-interlacing polynomials and their dual Hurwitz stable polynomials play an important role in these interrelations. Possible applications of Hurwitz stable and self-interlacing orthogonal polynomials to integrable systems and quantum transportation are discussed.

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