Früchtl and Otto describe quantum chemical computations on vector computers, such as a Cray or Convex architecture. The authors have adapted an approximation scheme by Schaad and Morrell for the incomplete gamma function to the special form appropriate for implementation in vector arithmetic. Their findings indicate that significant speedups are possible. Several test results are reported. It would be interesting to see similar efforts made for implementations on modern massively parallel architectures such as the Cray T3D and IBM SP2.