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二元 Hermite 多项式

2025.01.06

投稿:龚惠英部门:理学院浏览次数:

活动信息

报告题目 (Title):二元 Hermite 多项式

报告人 (Speaker): 刘治国 教授(华东师范大学)

报告时间 (Time):2025年01月10日(周五) 09:00

报告地点 (Place):校本部GJ303

邀请人(Inviter):陈旦旦

主办部门:理学院数学系

报告摘要: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.