This article is from the Isaac Asimov FAQ, by Edward J. Seiler ejseiler@earthlink.net and John H. Jenkins jenkins@mac.com with numerous contributions by others.
Yes, The Second Foundation Trilogy was published by HarperPrism. The
first novel, Foundation's Fear , by Gregory Benford, was published in
March 1997; the second novel, Foundation and Chaos , by Greg Bear, was
published in March 1998; and the third novel of the trilogy, Foundation's
Triumph , by David Brin, was published in April 1999. According to the
afterword in Foundation's Fear , although the three novels are being
developed as stand-alone books, they will "carry forward an overarching
mystery to its end."
The novels were written at the suggestion of Janet Asimov and the
representative of the Asimov estate. They approached Gregory Benford and
asked him to write a Foundation book. After giving it some thought, he
agreed to do so, and suggested that Bear and Brin write additional books
to form a new trilogy.
 
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