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2022年5月16日李惠博士线上学术报告
上传时间:2022-05-16 作者: 浏览次数:10

报告题目: Uniqueness on difference operators of meromorphic functions of infinite order  
: 李惠 (中科院数学与系统科学研究院
报告摘要: In this talk, we give a difference analogue of a result of Jank-Mues-Volkmann on the unicity of meromorphic functions. By using completely different methods, we investigate the uniqueness problems of meromorphic functions and their difference operators. We prove that if a non-constant meromorphic function $f$ share a non-zero constant and $\infty$ counting multiplicities with its difference operators $\Delta_c f$ and $\Delta_c^2 f$, then $\Delta_c f\equiv \Delta_c^2 f$. In particular, we give a difference analogue of a result of Jank-Mues-Volkmann. Our method is in a flavor of algebra and combinatorics, which may be of independent interest in this field, especially that the idea to circumvent the obstacle of the difference logarithmic derivative lemma for meromorphic functions of infinite order.

报告人简介:李惠,北京邮电大学获得博士学位,导师是杰出青年基金获得者乔建永教授,现在中国科学院数学与系统科学研究院从事博士后研究工作,合作导师是杰出青年基金获得者刘劲松研究员。研究兴趣主要在复分析,复动力系统包括值分布理论,随机解析函数等领域,在Appl. Math. Comput., Complex Anal. Oper. Theory, Math. Methods Appl. Sci.等SCI杂志发表多篇学术论文。
报告时间:2022516日周9:00-11:30
报告地点:腾讯会议 ID:195 452 020
学院联系人:方明亮

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