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- October 25th 2009, 11:39 PMpengchao1024Asmptotic analysis problem

show by induction - October 26th 2009, 02:40 AMchisigma
A complex variable function analytic in can be written as...

(1)

If in (1) is then is also analytic in and is...

(2)

A direct way to compute the from the is given by the identity we obtain combining (1) and (2)...

(3)

... so that is...

(4)

If we perform the substitution of variable so that is...

(5)

The conclusion is that if...

(6)

... then it is also...

(7)

Kind regards

- October 26th 2009, 10:26 AMpengchao1024idont
i dont understand y u prove (7)