Series:
Analysis Seminar
Friday, December 16, 2016 - 12:00
1 hour (actually 50 minutes)
Location:
Skiles 005
Organizer:
I will present a discrete family of multiple orthogonal polynomials defined
by a set of orthogonality conditions over a non-uniform lattice with
respect to different q-analogues of Pascal distributions. I will obtain
some algebraic properties for these polynomials (q-difference equation and
recurrence relation, among others) aimed to discuss a connection with an
infinite Lie algebra realized in terms of the creation and annihilation
operators for a collection of independent ascillators. Moreover, if time
allows, some vector equilibrium problem with constraint for the nth root
asymptotics of these multiple orthogonal polynomials will be discussed.