In the present notes, the equation, i.e., φ4+ξφ3-1=O of the Obukhoff-Monin's universal function φ, which was obtained by Yamamoto and Panofsky, is solved exactly. For three cases, i.e., a slightly diabatic case, a very unstable case and a very stable case, approximate solutions are obtained, which are the same with Kazansky-Monin and Yamamoto's formulae in the first approximations. Using the solutions, the formulae of the fluxes of heat and water vapor are obtained, which include the Thornthwaite-Holtzman's formula as a special case. The formula of the lapse rate is also obtained in the unstable atmosphere, which coincides with that of Obukhoff-Monin and Priestley.