PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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
Seminar:Combinatorics/Partitions Seminar
Speaker:Shaoshi Chen, NCSU
Abstract:
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
Date:03 / 13 / 2012
Time:11:15am - 12:05pm