- Series
- Analysis Seminar
- Time
- Monday, February 22, 2016 - 2:05pm for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Walter Van Assche – University of Leuven, Belgium
- Organizer
- Jeff Geronimo
The asymptotic distribution of the zeros of two families of multiple
orthogonal polynomials will be given, namely the Jacobi-Pineiro polynomials (which
are an extension of the Jacobi polynomials) and the multiple Laguerre polynomials
of the first kind (which are an extension of the Laguerre polynomials). We use the
nearest neighbor recurrence relations for these polynomials and a recent result on
the ratio asymptotics of multiple orthogonal polynomials. We show how these
asymptotic zero distributions are related to the Fuss-Catalan distribution.