[ a(t) \phi(t) + \fracb(t)\pi i , \textP.V. \int_\Gamma \frac\phi(\tau)\tau-t , d\tau = f(t), \quad t \in \Gamma, ]
[ \Phi^+(t) = G(t) , \Phi^-(t) + g(t), ] [ a(t) \phi(t) + \fracb(t)\pi i , \textP
Title: Singular Integral Equations: Boundary Problems of Function Theory and Their Application to Mathematical Physics Author: N. I. Muskhelishvili (also spelled Muskhelishvili) Original Russian Publication: 1946 (frequently revised) English Translation: 1953 (P. Noordhoff, Groningen; later Dover reprints) [ a(t) \phi(t) + \fracb(t)\pi i