Plane Potential Field Outside a Symmetric T-Shaped Profile

We consider a new plane problem of the potential theory outside symmetric T-shaped profile. In view symmetry profile, we reduce analyzed to mixed boundary-value in half with perpendicular cut whose solution is constructed by method partial domains use polar coordinates and Mellin integral transformation. The original reduced system two Wiener–Hopf equations completely regular infinite linear algebraic equations. approximately found reduction. obtained explicit expressions for unknown harmonic function make it possible efficiently determine its values all arguments.