报告人 ：曹健(杭州师范大学)

时间：2023年05月30日 09:00--

腾讯会议ID：490 429 785

摘要：In this talk, our investigation is focusing on q-analogue complex hypergeometric polynomials, which were motivated by Ismail and Zhang [Adv. Appl. Math. 80(2016), 70--92.] and [Trans. Amer. Math. Soc. 369(2017), 6779 -6821.]. We give a new pair of q-3D Hermite polynomials and their corresponding q-partial differential equations. In addition, we generalize (q,c)-derivative operator of Zhang [Adv. Appl. Math. 121(2020), 102081, 23pp.] and (q,\lambda)-derivative operator of Yang [Ramanujan J. 60(2023), 1127-1149.] and give some applications. Moreover, we define the generalized homogeneous Rogers--Szeg\"{o} polynomial and Stieltjes--Wigert polynomial involving two parameters in the binomial coefficient and find their corresponding q-partial differential equations. Finally, we define generalized q-3D hypergeometric polynomials with double binomial coefficients, find their corresponding q-partial differential equations and generalize some results of Ismail and Zhang.

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。

邀请人：傅士硕

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