2.86295 + 3.22327 i
#14
Let
X = 2.86295.. + 322327.. i
Y = 5 + 9 i

then I think using the gaussian method would give nice functions.

t(s) = (1 + erf(s))/2

f_X(s) = X^(t(s) * f_X(s-1))
f_Y(s) = Y^(t(s) * f_Y(s-1))

lim n to +oo

tet_X(s + x1) = ln_X^[n] f_X(s+n)

tet_Y(s + y1) = ln_Y^[n] f_Y(s+n)

It feels like the gaussian method might be perfect/fascinating for these bases.

the pseudoperiodicity of the X case for instance.
(reminds me of the fixpoint methods where the derivative is nonreal )

And maybe easier to compute/plot compared to kneser and/or other bases.

And many conjectural ideas seem natural.

regards

tommy1729
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Messages In This Thread
2.86295 + 3.22327 i - by tommy1729 - 02/20/2020, 01:24 PM
RE: 2.86295 + 3.22327 i - by Gottfried - 02/20/2020, 06:43 PM
RE: 2.86295 + 3.22327 i - by tommy1729 - 02/20/2020, 08:23 PM
RE: 2.86295 + 3.22327 i - by Gottfried - 02/21/2020, 12:41 AM
RE: 2.86295 + 3.22327 i - by sheldonison - 02/21/2020, 06:27 PM
RE: 2.86295 + 3.22327 i - by Gottfried - 02/26/2020, 03:12 PM
RE: 2.86295 + 3.22327 i - by sheldonison - 02/27/2020, 06:09 PM
RE: 2.86295 + 3.22327 i - by tommy1729 - 02/20/2020, 08:30 PM
RE: 2.86295 + 3.22327 i - by Daniel - 03/20/2020, 02:59 AM
RE: 2.86295 + 3.22327 i - by tommy1729 - 03/07/2021, 12:29 AM
RE: 2.86295 + 3.22327 i - by Gottfried - 03/07/2021, 01:54 AM
RE: 2.86295 + 3.22327 i - by tommy1729 - 03/07/2021, 11:00 PM
RE: 2.86295 + 3.22327 i - by tommy1729 - 03/07/2021, 11:06 PM
RE: 2.86295 + 3.22327 i - by tommy1729 - 10/25/2021, 11:50 PM
RE: 2.86295 + 3.22327 i - by JmsNxn - 10/25/2021, 11:57 PM



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