Abstract
Calculates in closed form a family of definite integrals In(b,a;c), n=0,1,2,3,. . ., which arise in the calculation of regularized functional determinants associated with a compact space form X of a rank 1 Riemannian symmetric space. In the special case when n=0, b=1/2, a= pi , c=1, and X is a Riemann surface, the integral I0(1/2, pi ;1) is known, for example in the context of Polyakov string theory.