腾讯会议： 905 109 195
邀请人： 曹海涛教授
报告摘要：My talk is about some applications of the (f, g)-inversion formula under special- izations that f = 1 − xy, g = y − x. As a mian result, we establish an (1 − xy, y − x)- expansion formula giving rise to an expansion of basic hypergeometric rφs series in variable x t as a linear combination of r+2φs+1 series in t and its various specifications. These expansion formulas can be regarded as common generalizations of Carlitz’s, Liu’s, and Chu’s expansion in the setting of q-series.
As direct applications, some new transformation formulas of q-series including new approach to the Askey-Wilson polynomials, the Rogers-Fine identity, Andrews’ four-parametric reciprocity theorem and Ramanujan’s 1ψ1 summation formula, as well as a transformation for certain well-poised Bailey pairs, are presented. This report is based on joint work with Dr. J. Wang.
个人简介：马欣荣教授，先后师从于我国著名数学家徐利治教授和朱烈教授；1995年博士毕业于大连理工大学应用数学研究所，1996年于苏州大学博士后流动站从事组合数学研究。现为苏州大学教授和博士生导师，主持国家自然科学基金项目多项，在组合反演、q-级数理论等方面做出了多项突破性重要结果。