  The face-on projected density profile of the Miyamoto & Nagai disks of
arbitrary flattening is obtained analytically in terms of incomplete elliptic
integrals of first and second type, by using two complementary approaches, and
then checked against the results of numerical integration. As computer algebra
systems do not seem able to obtain the resulting formula in any straightforward
way, the relevant mathematical steps are provided. During this study, three
wrong identities in the Byrd & Friedman tables of elliptic integrals have been
identified, and their correct expression is given.
