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In this article we derive the explicit solution of 2-D Stokes system inexterior of the disc with no-slip condition on inner boundary and givenvelocity $\mathbf{v}_\infty$ at infinity. It turned out it is the firstapplication of the associated Weber-Orr transform to mathematical physics incomparison to classical Weber-Orr transform which is used in many researches.From no-slip condition for velocity field we will obtain Robin-type boundarycondition for vorticity. Then the initial-boundary value problem for vorticitywill be solved with help of the associated Weber-Orr transform. Also theexplicit formula of Biot-Savart Law in polar coordinates will be given.

Associated Weber-Orr transform, Biot-Savart Law and explicit solution of 2D Stokes system in exterior of the disc