报告题目:q-Abel transformation and its applications
报告时间:2023年6月20日下午15:30-16:30
报告人:马欣荣 教授
主持人:王琛颖 副教授
报告地点:藕舫楼702
报告摘要:In this talk, we will speak about how to establish three new and general transformations with sixteen parameters and bases via Abel's lemma on summation by parts. As applications, we can find many new transformations of basic hypergeometric series including some new results of Gasper and Rahman's quadratic, cubic, and quartic transformations. In particular, we put forward the so-called (R,S)-type transformation with arbitrary degree to unify such multibasic transformations. Some latest progress on the first transformation and its applications will be presented.
This talk is based on joint works with Ph.D student Jianan Xu.
专家简介:
马欣荣,苏州大学教授、博士生导师。他先后师从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年在苏州大学博士后流动站从事组合数学研究。目前已完成国家自然科学基金面上项目四项;在组合反演、q-级数理论等方面取得了多项原创性成果,其中最具代表性的成果是(f,g)-反演公式和(f,g)-展开公式。
数学与统计学院
2023年6月19日