Forty years ago Burbidge, Burbidge, Fowler, and Hoyle combined what we
would now call fragmentary evidence from nuclear physics, stellar evo
lution and the abundances of elements and isotopes in the solar system
as well as a few stars into a synthesis of remarkable ingenuity. Thei
r review provided a foundation for forty years of research in all of t
he aspects of low energy nuclear experiments and theory, stellar model
ing over a wide range of mass and composition, and abundance studies o
f many hundreds of stars, many of which have shown distinct evidence o
f the processes suggested by (BFH)-F-2. In this review we summarize pr
ogress in each of these fields with emphasis on the most recent develo
pments. [S0034-6861(97)00204-3].