Gene wrote: << I wrote: << Is [Sum_n=1^oo z^(2^n)/n!] that function Hille shows converges both inside and outside the unit circle? And, IIRC, that at least radially is continuous at the points of convergence *on* the circle? (If not, there is such an example in that book, and it's very cool.)

...

I found the example you were looking for. The discussion begins on p. 21 of vol. 2.

...

Dumb of me to even wonder, since this weird example obviously can't be a power series in z. --Dan _____________________________________________________________________ "It don't mean a thing if it ain't got that certain je ne sais quoi." --Peter Schickele