ζ-function method for repulsive Casimir forces

We compute the Casimir pressure between an unusual pair of parallel plates, namely, a perfectly conducting plate (epsilon --> infinity) and an infinitely permeable one (mu --> infinity) with the generalized zeta-function method. The result for this problem, which has been rarely discussed in the literature, is a repulsive Casimir force. The zeta-function method provides a very compact and economic way of obtaining the final result.