User blog comment:Hyp cos/Fundamental Sequences in Taranovsky's Notation/@comment-40154718-20190916105734/@comment-11227630-20190916114524

The latter definition works as an FS, but we cannot use fα(x) to generate large numbers for fixed small x such as x=2.

Using the former one, instead, fα(2) could be very large as α goes large.