Ma. Sheshko et al., ON EXACT AND APPROXIMATE SOLUTIONS OF SIN GULAR INTEGRAL-EQUATION WITH CAUCHY KERNEL ON THE REAL SEMI-AXIS, Doklady Akademii nauk BSSR, 41(6), 1997, pp. 43-48
The singular integral equation with Cauchy kernel taken over the are (
0, +infinity) is investigated. In particular case, the solution of equ
ation [GRAPHICS] is obtained. Futhermore, the approximate solution of
the equation called in the paper title with respect to all values of t
he index is given. An estimate for the rate of convergence is also giv
en.