For more information about this meeting, contact Matthew Katz, James Sellers, George Andrews.
| Title: | Moments of Askey-Wilson polynomials |
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| Seminar: | Combinatorics/Partitions Seminar |
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| Speaker: | Jang Soo Kim, University of Minnesota |
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| Abstract: |
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| The Askey-Wilson polynomials are the most general orthogonal polynomials among those classified by the Askey scheme. These are orthogonal polynomials in one variable with 5 parameters. In this talk I will talk about 3 combinatorial methods to study the nth moment of the Askey-Wilson polynomials. The first method is Viennot's theory of weighted Motzkin paths. The second method uses staircase tableaux introduced by Corteel and Williams. The third method is a modification of an idea of Ismail, Stanton, and Viennot on matchings and q-Hermite polynomials. Using the third method we express the nth moment as a fraction of two generating functions for certain matchings and obtain a new formula for the moment. This is joint work with Dennis Stanton. |
Room Reservation Information
| Room Number: | MB106 |
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| Date: | 04 / 09 / 2013 |
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| Time: | 11:15am - 12:05pm |
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