BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//jEvents 2.0 for Joomla//EN
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VTIMEZONE
TZID:America/New_York
BEGIN:STANDARD
DTSTART:20231105T010000
RDATE:20240310T030000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:America/New_York EST
END:STANDARD
BEGIN:STANDARD
DTSTART:20241103T010000
RDATE:20250309T030000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:America/New_York EST
END:STANDARD
BEGIN:STANDARD
DTSTART:20251102T010000
RDATE:20260308T030000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:America/New_York EST
END:STANDARD
BEGIN:STANDARD
DTSTART:20261101T010000
RDATE:20270314T030000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:America/New_York EST
END:STANDARD
BEGIN:STANDARD
DTSTART:20271107T010000
RDATE:20280312T030000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:America/New_York EST
END:STANDARD
BEGIN:STANDARD
DTSTART:20281105T010000
RDATE:20290311T030000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:America/New_York EST
END:STANDARD
BEGIN:DAYLIGHT
DTSTART:20230611T130000
RDATE:20231105T010000
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:America/New_York EDT
END:DAYLIGHT
BEGIN:DAYLIGHT
DTSTART:20240310T030000
RDATE:20241103T010000
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:America/New_York EDT
END:DAYLIGHT
BEGIN:DAYLIGHT
DTSTART:20250309T030000
RDATE:20251102T010000
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:America/New_York EDT
END:DAYLIGHT
BEGIN:DAYLIGHT
DTSTART:20260308T030000
RDATE:20261101T010000
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:America/New_York EDT
END:DAYLIGHT
BEGIN:DAYLIGHT
DTSTART:20270314T030000
RDATE:20271107T010000
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:America/New_York EDT
END:DAYLIGHT
BEGIN:DAYLIGHT
DTSTART:20280312T030000
RDATE:20281105T010000
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:America/New_York EDT
END:DAYLIGHT
END:VTIMEZONE
BEGIN:VEVENT
UID:f4bd2d6e702f0519322f71f0464f81fe
CATEGORIES:Lie Group Quantum Mathematics Seminar
CREATED:20240520T214739
SUMMARY:Hypergeometric orthogonal polynomial families 
LOCATION:Hill 705
DESCRIPTION:<p>Motivated by the theory of hypergeometric orthogonal polynomials, we con
 sider quasi-orthogonal polynomial families - those that are orthogonal with
  respect to a non-degenerate bilinear form defined by a linear functional -
  in which the ratio of successive coefficients is given by a rational funct
 ion f(u,s) which is polynomial in u. We call this a family of Jacobi type. 
 Our main result is that, up to rescaling and renormalization, there are onl
 y five families of Jacobi type.</p><p>These are the classical families of J
 acobi, Laguerre and Bessel polynomials, and two more one parameter families
  $E^c, F^c$. Each family arises as a specialization of some hypergeometric 
 series. The last two families can also be expressed through Lommel polynomi
 als, and they are orthogonal with respect to a positive measure on the real
  line for c&gt;0 and c&gt;-1 respectively.</p><p>We also consider the more 
 general rational families, i.e. quasi-orthogonal families in which the rati
 o f(u,s) of successive coefficients is allowed to be rational in u as well.
  I will formulate the two main theorems, one on Jacobi families and one on 
 rational families, as well as the main ideas of the proofs. This is joint w
 ork with Joseph Bernstein and Siddhartha Sahi.</p>
CONTACT:Dmitry Gourevitch, Weizmann Institute 
DTSTAMP:20260830T202514
DTSTART;TZID=America/New_York:20240611T130000
DTEND;TZID=America/New_York:20240611T140000
SEQUENCE:0
TRANSP:OPAQUE
END:VEVENT
END:VCALENDAR