Searching for an asymptotic to exp[0.5]

[tommy1729]

Consider the rectangle (2,3,2+ 0,0001 i , 3+0,0001 i).

This is zone a.

Exp( zone a) = zone b , exp(zone(b) ) = zone c.

F0 = ln(2sinh^[1/2](exp))

F1 a = ln F0( exp(zone a) ) =< F0(zone a) + g1.

F2 a = ln F1 ( exp ( zone a) ) =< Ln( f0 a + g1) =< f0( a ) + g1 + g1/x^2

By induction

Foo =< f(a) + g1/x^2 + g1/x^4 +... Converges

Qed m- test

Regards

Tommy1729