指数多项式的研究进展
Research Summary on Exponential Polynomials
摘要: 二阶复线性微分方程的指数多项式完全正规解是研究复线性微分方程解的一个重要分支，也是研究复线性微分方程解的重大突破，诸如来自美国University of New Orleans的著名函数论专家Gary G. Gundersen和来自芬兰University of Eastern Finland的Janne Heittokangas教授以及国内温智涛老师等学者长期对此问题进行研究探索。现主要阐述研究背景，然后进行系统的梳理与总结，最后提出一些研究重点以及未解决的重要问题。
Abstract: Completely normal solution of exponential polynomials of second-order complex linear differential equations is an important branch and a major breakthrough of the study on the solution of complex linear differential equations. Scholars such as Gary G. Gunderse, a famous expert in functional theory from the University of New Orleans in the United States, Professor Janne Heittokangas from the University of Eastern Finland, and Wen Zhitao in China have been studying this problem for a long time. This paper mainly expounds the research background, then systematically combs and summarizes, and finally, puts forward some research emphases and important problems that have not been solved.
文章引用：李雪, 吴秀碧. 指数多项式的研究进展[J]. 应用数学进展, 2021, 10(12): 4373-4378. https://doi.org/10.12677/AAM.2021.1012465

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