For more information about this meeting, contact Matthew Katz, James Sellers, George Andrews.
| Title: | On the Structure of Hyperexponential-Hypergeometric Terms On the Structure of Hyperexponential-Hypergeometric Terms On the Structure of Hyperexponential-Hypergeometric Terms |
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| Seminar: | Combinatorics/Partitions Seminar |
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| Speaker: | Shaoshi Chen, NCSU |
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| Abstract: |
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| A hyperexponential-hypergeometric term is a solution of a first-order linear functional system involving differential, shift and q-shift operators. The rational-function coefficients of the linear functional system satisfy three groups of compatibility conditions. By investigating those compatibility conditions, we present a theorem that describes the structure of compatible
rational functions. The theorem enables us to decompose a solution of such a system as a product of a rational function, several symbolic powers, a hyperexponential function, a hypergeometric term, and a q-hypergeometric term. We will also discuss an application of the structure theorem in the study
of the Wilf-Zeilberger conjecture. |
Room Reservation Information
| Room Number: | MB106 |
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| Date: | 03 / 13 / 2012 |
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| Time: | 11:15am - 12:05pm |
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