报告人：曹健

时间：2024年4月22日下午4:30-5:30

地点：育才校区数学楼 304

报告题目：q-Partial differential equations and q-operational equations for Askey Scheme q-polynomials

报告摘要：In this talk, we focus on Askey Scheme q-polynomials. We introduce two generalized q-2D Ultraspherical polynomials and deduce their corresponding q-partial differential equations. In addition, bilinear and multlinear generating functions for the generalized q-2D Ultraspherical polynomials are deduced by the method of q-partial differential equations. Moreover, a new transformational identity and involving q-2D Ultraspherical polynomials and linearization relations for q-2D Ultraspherical polynomials are obtained by q-partial differential equations. Finally, we find and study q-Partial differential equations and q-operational equations for Carlitz-Andrews polynomials and Askey–Wilson polynomials.

报告人简介：曹健，杭州师范大学教授，硕士生导师，浙江大学博士后，法国里昂第一大学访问学者，从事组合数学与特殊函数领域的研究。主持国家自然科学基金及浙江省自然科学基金等多个项目，已在本领域（《Stud. Appl. Math.》《Adv. Appl. Math.》《Ramanujan J.》等）重要学术刊物上发表30余篇SCI论文，入选杭州市属高校中青年学术带头人、杭州市“131”人才等，担任美国数学会评论员，多次在全国组合数学与图论会议、海峡两岸图论与组合数学会议、英国肯特大学及伦敦大学学院等国内外学术会议上作报告。