Acta mathematica scientia,Series B ›› 2002, Vol. 22 ›› Issue (2): 145-149.
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LU Jian-Ke
Online:
Published:
Supported by:
Project supported by NNSF of China (No.19871064)
Abstract:
Solution of the Riemann boundary value problem with square roots (1.1) for analytic functions proposed in [1] is reconsidered, which was solved under certain as-sumptions on the branch points appeared. Here, the work is continued without these assumptions and the problem is solved in the general case.
Key words: Riemann boundary value problem, branch points, index, order at infinity,sectionally holomorphic functions
CLC Number:
LU Jian-Ke. ON SOLUTION OF A KIND OF RIEMANN BOUNDARY VALUE PROBLEM WITH SQUARE ROOTS[J].Acta mathematica scientia,Series B, 2002, 22(2): 145-149.
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[1]Liu Hua, Lu Jian-ke. A generalized Riemann boundary value problem. Wuhan Univ J of Natural Sci,2000, 5(2): 147-149 [2]Muskhelishvili N I. Singular Integral Equations. Leyden: Noordhoff, 1977 [3]Lu Jian-ke. Boundary Value Problems for Analytic Functions. Singapore: World Scientific, 1993 [4]Arzhanov G V. Solubility of homogeneous nonlinear boundary value problem of power type. Izv Vuz Mathematika [Soviet Mathematics], 1978, (8): 8-18 [5]Aksent’eva E P. A study of Riemann power boundary value problem. Izv Vuz Mathematika, 1990, 34(4):3-10
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