Searching for an asymptotic to exp[0.5]

[tommy1729]

For multiple reasons there is a intrest to investigate a type of function :

Exp( A ln(x)^3 ).

For instance g" = 0. ( gaussian , Tommy-Sheldon )

Also for the theory of " fake polynomials " :

Fake [ exp( A ln(x)^3 ) ] = exp ( G( ln(x) ) ).

g(x) = A x^3 , G(x) is the fake A x^3 then.

This fake A x^3 gives a g " <> 0 , wich is intresting for our methods.

One could consider

Fakemethod ( exp( a ln^2(x) + A ln^3(x) + ... ) )

= Fake [ exp( a ln^2(x) + polynomialfake [ A x^3 ] + ... ) ].

This way the gaussian AND Tommy-Sheldon come back into play while taking into ACCOUNT g "' (x) !

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Error term studies are intresting too

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Slightly off-topic , but there must be a J-like equation for exp( A ln(x)^3 ) right ?

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Regards

Tommy1729