曲阜师范大学学报（自然科学版）2025，Vol.51Issue(2)：25-30,6.DOI:10.3969/j.issn.1001-5337.2025.2.025
一类带根号的Riemann边值逆问题在正则情况下的解法
The solution of a class of inverse Riemann boundary value problems with roots in the case of normal type
摘要
Abstract
In this paper,a class of inverse Riemann boundary value problems with roots on infinite straight lines in the case of normal type is studied.By using a series of integral transforms,the structure of unknown functions is analyzed and the inverse Riemann boundary value problems is transformed into the classical Riemann boundary value problems.By means of the principle of analytic continuation and the gen-eralized Liouville theorem,the general solution of the equation is obtained.关键词
Riemann边值逆问题/解析开拓原理/指标/典则函数/正则型Key words
inverse Riemann boundary value problems/principle of analytic continuation/index/canoni-cal function/normal type分类
数学引用本文复制引用
柏淞玮,孙梦,李平润,王文静..一类带根号的Riemann边值逆问题在正则情况下的解法[J].曲阜师范大学学报（自然科学版）,2025,51(2):25-30,6.基金项目
国家自然科学基金(11971015) （11971015）
山东省大学生创新创业训练计划(S202210446044). （S202210446044）
