TY  - JOUR
ID  - Pylak2008
LB  - Pylak2008
AU  - Pylak, Dorota
TI  - Approximate solutions of a singular integral equation with Cauchy kernels in the quarter plane
ST  - Approximate solutions of a singular integral equation with Cauchy kernels in the quarter plane
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2008
VL  - 28
IS  - 2
SP  - 179
EP  - 194
DO  - http://dx.doi.org/10.7494/OpMath.2008.28.2.179
UR  - http://dx.doi.org/10.7494/OpMath.2008.28.2.179
AB  - In 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.
KW  - singular integral equation
KW  - Cauchy kernel
KW  - Chebyshev and Jacobi polynomials
SN  - 1232-9274
ER  -