TITLE:
Doubly Periodic Riemann Boundary Value Problem of Non-Normal Type for Analytic Functions on Two Parallel Curves
AUTHORS:
Lixia Cao, Huijun Zheng
KEYWORDS:
Doubly Periodic, Holder Continuous Functions, Riemann Boundary Problem, Non-Normal Type
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.5 No.1,
January
23,
2015
ABSTRACT: In this paper, we present and study a kind of Riemann boundary value problem of non-normal type for analytic functions on two parallel curves. Making use of the method of complex functions, we give the method for solving this kind of doubly periodic Riemann boundary value problem of non-normal type and obtain the explicit expressions of solutions and the solvable conditions for it.