impulsive question

without thinking about it i ask about this
very impulsive and intuitive question :

(and apologies if i asked this before )

f1(2x) = 6*f2(x)*f3(x)*f4(x)
f2(2x) = 6*f1(x)*f3(x)*f4(x)
f3(2x) = 6*f1(x)*f2(x)*f4(x)
f4(2x) = 6*f1(x)*f2(x)*f3(x)

its kind a like the addition forms for exp , cosh , sine etc

but i hope this gives a non-elementary function.

it appears simple addition forms lead to simple functions in general...

a big part of that can be explained by differential equations of course.

maybe this one too.

im sorry i did not bother to investigate this myself.

but perhaps you find it fun to analyse.

regards
tommy1729
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