10/25/2021, 11:50 PM
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
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

