报告题目1：Two elementary functional identities and the (f,g)-inversion formula

报告人：马欣荣研究员，苏州大学

报告时间：2026年5月31日（周日）14:30-17:30

报告地点：20-200

报告摘要：In 2005, we established the so called (f,g)-inversion formula, where the functions and are subject to

g(a,b)f(x,c)+g(b,c)f(x,a)+g(c,a)f(x,b)=0. (1)

This relation may serve as a prototype for the classical Weierstrass theta identity. As of today, the (f,g)-inversion formula contains many classical results, such as the Gould-Hsu, Krattenthaler, and Warnaar inversion formulas as special cases. In this report, I will present two new elementary functional identities closely related to a pair of functions restricted to (1). As further application of our argument, some special but interesting functional identities are obtained. My report is based on joint work with Jianan Xu.

报告人简介：马欣荣，苏州大学数学科学学院研究员、博士生导师。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。主持国家自然科学基金面上项目多项；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。

报告题目2：A new connection linking the Al-Salam-Carlitz polynomials with the Jacobi triple product identity and allied $q$-identities

报告人：陈琦，苏州大学

报告时间：2026年5月31日（周日）14:30-17:30

报告地点：20-200

报告摘要：This report is about a new q-series transformation connecting the classical Jacobi triple product identity with the Al-Salam-Carlitz polynomials. As further application of our argument, we introduce the multivariate Al-Salam-Carlitz polynomials and establish its bilinear generating function. Other special q-series transformations are also presented.My report is based on joint work with J. Wang and X.R. Ma.

报告人简介：陈琦，苏州大学博士研究生，师从马欣荣研究员从事组合分析与特殊函数理论研究。

邀请人：王瑾