Riemann Boundary Value Problem of Non-Normal Type on the Infinite Straight Line

Author(s)
Lixia Cao

Affiliation(s)

Department of Information and Computing Sciences, Mathematics College, Northeast Petroleum University, Daqing, China.

Department of Information and Computing Sciences, Mathematics College, Northeast Petroleum University, Daqing, China.

Abstract

Various kinds of Riemann boundary value problems (BVPs) for analytic functions on closed curves or on open arc, doubly periodic Riemann BVPs, doubly quasi-periodic Riemann BVPs, and BVPs for polyanalytic functions have been widely investigated in [1-8]. The main ap- proach is to use the decomposition of polyanalytic functions and their generalization to transform the boundary value problems to their corresponding boundary value problems for analytic functions. Recently, inverse Riemann BVPs for generalized analytic functions or bianalytic functions have been investigated in [9-12].

In this paper, we consider a kind of Riemann BVP of non-normal type on the infinite straight line and discuss the solvable conditions and the general solution for it.

Cite this paper

L. Cao, "Riemann Boundary Value Problem of Non-Normal Type on the Infinite Straight Line,"*Applied Mathematics*, Vol. 4 No. 8, 2013, pp. 1226-1230. doi: 10.4236/am.2013.48165.

L. Cao, "Riemann Boundary Value Problem of Non-Normal Type on the Infinite Straight Line,"

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