  Representations are derived for the basic scalar one-loop vertex Feynman
integrals as meromorphic functions of the space-time dimension $d$ in terms of
(generalized) hypergeometric functions $_2F_1$ and $F_1$. Values at asymptotic
or exceptional kinematic points as well as expansions around the singular
points at $d=4+2n$, $n$ non-negative integers, may be derived from the
representations easily. The Feynman integrals studied here may be used as
building blocks for the calculation of one-loop and higher-loop scalar and
tensor amplitudes. From the recursion relation presented, higher n-point
functions may be obtained in a straightforward manner.
