05/04/2014, 03:28 PM
(05/04/2014, 11:50 AM)mike3 Wrote: WOW, this is easier than I thought...What are the values for F (0,1,2,3)?
All we do is take that \( a_n = {^n} e \) and \( c_n = {^n} e \) (there seems to be a mistake as the post as written seems to suggest we should take \( c_n = -{^n} e \) and that doesn't seem to work), and \( z_n = n \) (the indexes at which we are to interpolate), which gives
\( F(z) = \sum_{n=0}^{\infty} e^{({^n} e) (z - n)} ({^n} e) \frac{(-1)^n \sin(\pi z)}{\pi (z - n)} \)
as an entire interpolant for the tetrational sequence.
