摘要
In this paper,conjugate k-holomorphic functions and generalized k-holomorphic functions are defined in the two-dimensional complex space,and the corresponding Riemann boundary value problems and the inverse problems are discussed on generalized bicylinders.By the characteristics of the corresponding functions and boundary properties of the Cauchy type singular integral operators with conjugate k-holomorphic kernels,the general solutions and special solutions of the corresponding boundary value problems are studied in a detailed fashion,and the integral expressions of the solutions are obtained.
作者
Yanyan CUI
Chaojun WANG
Yonghong XIE
Yuying QIAO
崔艳艳;王朝君;谢永红;乔玉英(College of Mathematics and Statistics,Zhoukou Normal University,Zhoukou,466001,China;College of Mathematics and Information Science,Hebei Normal University,Shijiazhuang,050024,China)
基金
supported by the NSF of Henan Province(222300420397,242300421394)
Xie’s research was supported by the NSFC(11571089,11871191).
