Abstract:  The presentation discusses obtaining Hilbert formulas for r-analytic functions defined by a generalized Cauchy-Riemann system in the meridional cross-section plane for biconvex lens- and spindle-shaped bodies. These formulas have been derived in the framework of Riemann boundary-value problems for analytic functions and applied in hydrodynamics of the axially symmetric steady motion of the rigid bodies in a Stokes fluid. Specifically, the pressure in the fluid about the bodies has been expressed analytically based on a Hilbert formula. In addition, streamlines about the bodies, the vorticity and pressure function at the contour of the bodies and the drag force, exerted on the bodies by the fluid, have been calculated. The presentation also discusses a vectorial Riemann boundary-value problem for analytic functions arising in hydrodynamics of asymmetric Stokes flows about rigid bodies.