Browsing by Subject "Cauchy kernel"
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Item type:Article, Access status: Open Access , Application of Chebyshev and trigonometric polynomials to the approximation of a solution of a singular integral equation with a multiplicative Cauchy kernel in the half-plane(2008) Karczmarek, PawełIn this article Chebyshev and trigonometric polynomials are used to constructan approximate solution of a singular integral equation with a multiplicative Cauchy kernelin the half-plane.Item type:Article, Access status: Open Access , Approximate solutions of a singular integral equation with Cauchy kernels in the quarter plane(2008) Pylak, DorotaIn the paper, we present explicit formulae for the solution of the singular integral equation with Cauchy kernels in the quarter plane. Next, Jacobi and Chebyshev polynomials are used to derive approximate solutions of this equation.Item type:Article, Access status: Open Access , Singular integral equation with a multiplicative Cauchy kernel in the half-plane(2008) Karczmarek, PawełIn this paper the explicit solutions of singular integral equation with a multiplicative Cauchy kernel in the half-plane are presented.