汇报标题 (Title)：二元 Hermite 多项式
汇报人 (Speaker)： 刘治国 教授（华东师范大学）
汇报功夫 (Time)：2025年01月10日(周五) 09：00
汇报地址 (Place)：校本部GJ303
约请人(Inviter)：陈旦旦
主办部门：理学院数学系
汇报提要：The Hermite polynomials are one of the classic orthogonal polynomials. In this talk I will introduce the concepts of the bivariate Hermite polynomials and Hermite series and prove an expansion theorem for the analytic function in several variables by using the method of partial differential equations. With this expansion theorem, we can recover the Mehler formula, the Nielsen formula and the Weisner formula for the Hermite polynomials easily.
