For more information about this meeting, contact Barbara Baum.
|Title:||q-Catalan numbers and the Shapiro-Catalan convolution|
|Speaker:||Dr. George Andrews, Department of Mathematics, The Pennsylvania State University|
|Recently, T. Koshy published a book entitled "Catalan Numbers".
On page 123, he provides a little known identity of Catalan numbers that was found by L. Shapiro in 2002. R. Stanley has asked for a combinatorial proof of Shapiro's identity. In this talk, we discuss a q-analog of Catalan numbers from J. Comb. Th. (A), 44(1987), 267-273. We shall present the motivation and background of these q-Catalan numbers, and, if time allows, we shall allude to how these allow a combinatorial proof of the q-analog of the Shapiro identity (and thus of Shapiro's identity itself).|
Room Reservation Information
|Date:||01 / 13 / 2009|
|Time:||11:15am - 12:05pm|