For more information about this meeting, contact Barbara Baum.
| Title: | q-Catalan numbers and the Shapiro-Catalan convolution |
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| Seminar: | Combinatorics/Partitions Seminar |
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| Speaker: | Dr. George Andrews, Department of Mathematics, The Pennsylvania State University |
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| Abstract: |
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| 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 |
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| Date: | 01 / 13 / 2009 |
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| Time: | 11:15am - 12:05pm |
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