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C. Laurita, “A Quadrature Method for Cauchy Singular Integral Equations with Index －1,” IMA Journal of Nu merical Analysis, Vol. 32, No. 3, 2012, pp. 1071-1095. doi:10.1093/imanum/drr032

has been cited by the following article:

• TITLE: Some Properties of a Kind of Singular Integral Operator with Weierstrass Function Kernel

  AUTHORS: Lixia Cao

  KEYWORDS: Weierstrass Function Kernel; Singular Integral Operator; Bertrand Poincaré Formula; Properties

  JOURNAL NAME: Applied Mathematics, Vol.4 No.8, August 7, 2013

  ABSTRACT: We considered a kind of singular integral operator with Weierstrass function kernel on a simple closed smooth curve in a fundamental period parallelogram. Using the method of complex functions, we established the Bertrand Poincaré formula for changing order of the corresponding integration, and some important properties for this kind of singular integral operator.