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SUMMARY:Hurwitz stable and self-interlacing orthogonal polynomials. - Mikh
 ail Tyaglov (Shanghai Jiao Tong University)
DTSTART:20190129T150000Z
DTEND:20190129T160000Z
UID:TALK119440@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:In this survey talk\, we consider a few examples of Hurwitz st
 able and their dual (the so-called) self-interlacing polynomials and discu
 ss a number of interrelations between theory of orthogonal polynomials\, m
 oment theory\, and the root distributions of polynomials. Some specific re
 lations between the Jacobi polynomials and certain&nbsp\; Hurwitz stable p
 olynomials will be presented and an answer to a question of Geno Nikolov o
 n interlacing properties of the Jacobi polynomials will be provided. We wi
 ll also&nbsp\; discuss the asymptotic behaviour of sequences of Hurwitz st
 able polynomials.<br><br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
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