Singular Integral Equations Boundary Problems Of Function Theory And Their Application To Mathematical Physics N I Muskhelishvili May 2026

[ \Phi(z) = \frac12\pi i \int_\Gamma \frac\phi(\tau)\tau-z , d\tau, ]

with given Hölder-continuous ( G(t) \neq 0 ) and ( g(t) ). The of the problem is [ \Phi(z) = \frac12\pi i \int_\Gamma \frac\phi(\tau)\tau-z ,

[ \kappa = \frac12\pi \left[ \arg G(t) \right]_\Gamma. ] [ \Phi(z) = \frac12\pi i \int_\Gamma \frac\phi(\tau)\tau-z ,