Riemann Boundary Value Problems on the Curve of Parabola  

作　　者：Yanyan Lei Hua Liu Yanyan Lei;Hua Liu(Department of Mathematics, Tianjin University of Technology and Education, Tianjin, China)

机构地区：[1]Department of Mathematics, Tianjin University of Technology and Education, Tianjin, China

出　　处：《Journal of Applied Mathematics and Physics》2023年第5期1374-1390,共17页应用数学与应用物理（英文）

摘　　要：In this paper, we study Riemann boundary value problems on the Curve of Parabola. We characterized the functions which are intergrable on the Curve of Parabola. We also study the asymptotic behaviors of Cauchy-type integral and Cauchy principal value integral on the Curve of Parabola at infinity. At the end, we discuss the Riemann boundary value problems for sectionally holomorphic functions with the Curve of Parabola as their jump curve and obtain the explicit form.In this paper, we study Riemann boundary value problems on the Curve of Parabola. We characterized the functions which are intergrable on the Curve of Parabola. We also study the asymptotic behaviors of Cauchy-type integral and Cauchy principal value integral on the Curve of Parabola at infinity. At the end, we discuss the Riemann boundary value problems for sectionally holomorphic functions with the Curve of Parabola as their jump curve and obtain the explicit form.

关 键 词：Riemann-Hilbert Problem Plemelj Formula The Cauchy-Type Integral 

分 类 号：O17[理学—数学]