数学学科学术报告(张之正 洛阳师范学院)

发布者:段玉玲   发布时间:2018-08-28  浏览次数:13

报 告 人: 张之正 教授(洛阳师范学院)

报告题目:Multiple Basic Hypergeometric Series and Mock Theta Functions

报告时间:本周三(2018.8.29)下午15:30 - 16:30

报告地点:21-427  

    The theory of basic hypergeometric series consists of many known summationand transformation formulas. These basic hypergeometric series identitiesfrequently appear in combinatorics and in related area such as number theory,physics, and representation theory of Lie algebras. Multiple basic hypergeometricseries associated to the unitary group $A_n$ (or$U(n+1)$), $C_n$ and $D_n$ have been investigated by various authors. Many different types of such series exist in the literature. In this talk, we give

1. $U(n+1)$ analogue of AAB Bailey lattice (Agarwal, Andrews and Bressoud) and its applications.

2. $U(n+1)$, $C_n$ and elliptic generalizations of WP-Bailey pairs and their applications.

3. A WP-Bailey lattices and its $U(n+1)$ analogue.

4. Mock theta functions in terms of $q$-hypergeometric double sums.

   欢迎感兴趣的老师与同学参加。

 

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