Abstract :
Polynomial sets and polynomial expansion theorems are developed for solutions
of Cauchy problems of the form nu x, t.r t ns"Dmu x, t., ju x, t.r t j < ts0
sfj x., js0, 1, . . . , ny1. If m)n, then the data functions must be entire of
growth r ssr sy1. where ssmrn if n divides m and of growth r s sq1.rs
if msnsqr where 1FrFny1. If nGm, then R-analyticity of the fj x. will
suffice.
