PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Barbara Baum.

Title:q-Catalan numbers and the Shapiro-Catalan convolution
Seminar:Combinatorics/Partitions Seminar
Speaker:Dr. George Andrews, Department of Mathematics, The Pennsylvania State University
Abstract:
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

Room Number:MB106
Date:01 / 13 / 2009
Time:11:15am - 12:05pm