  The general solutions of many three-dimensional Lotka-Volterra systems,
previously known to be at least partially integrable, are constructed with the
aid of special functions. Examples include certain ABC and May-Leonard systems.
The special functions used are incomplete beta and elliptic functions. In some
cases the solution is parametric, with the independent and dependent variables
expressed as functions of a `new time' variable. This auxiliary variable
satisfies a nonlinear third-order differential equation of a generalized
Schwarzian type, and results of Carton-LeBrun on such equations are exploited.
Several difficult Lotka-Volterra systems are successfully integrated in terms
of Painleve transcendents. An appendix on incomplete beta functions is
included.
