Doubly Periodic Riemann Boundary Value Problem of Non-Normal Type for Analytic Functions on Two Parallel Curves - Advances in Pure Mathematics

APM > Vol.5 No.1, January 2015

Advances in Pure Mathematics

Volume 5, Issue 1 (January 2015)

ISSN Print: 2160-0368 ISSN Online: 2160-0384

Google-based Impact Factor: 0.50 Citations h5-index & Ranking

Doubly Periodic Riemann Boundary Value Problem of Non-Normal Type for Analytic Functions on Two Parallel Curves ()

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DOI: 10.4236/apm.2015.51006 2,497 Downloads 3,052 Views Citations

Author(s)

Lixia Cao^*, Huijun Zheng

Affiliation(s)

School of Mathematics and Statistics, Northeast Petroleum University, Daqing, China.

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.

KEYWORDS

Doubly Periodic, Holder Continuous Functions, Riemann Boundary Problem, Non-Normal Type

Share and Cite:

Cao, L. and Zheng, H. (2015) Doubly Periodic Riemann Boundary Value Problem of Non-Normal Type for Analytic Functions on Two Parallel Curves. Advances in Pure Mathematics, 5, 51-58. doi: 10.4236/apm.2015.51006.

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