03/29/2009, 10:37 AM
andydude Wrote:I meanAnsus Wrote:Which Wiki?
I think he means Citizendium.
http://en.wikipedia.org/wiki/Cauchy%27s_...al_formula
Cauchy integral also for b< e^(1/e)?

03/29/2009, 10:37 AM
andydude Wrote:I meanAnsus Wrote:Which Wiki? http://en.wikipedia.org/wiki/Cauchy%27s_...al_formula Ansus Wrote: Though I dont know where from you got this formula, if I assume that the formula is correct and slightly reformulate it: for on the imaginary axis : then it can also be used to iteratively compute the superexponential (base ) on the imaginary axis: Any volunteer to implement this formula? PS: This formula needs no assumption about the value of convergence of for , the only arbitrarity is the choosen branch of logarithm.
04/09/2009, 04:57 PM
bo198214 Wrote: I just see that the formula is not yet usable for implementation, but if we substitute then we have the same range of the imaganiray axis left and right:
04/09/2009, 06:10 PM
Ansus Wrote: But now I doubt the formula is true. Setting for example . Then But if I compute this numerially I get on the right side something close to 0. While the left side is . Where did you get this formula? Is it applicable only to certain functions?
04/24/2009, 05:29 PM
Ansus Wrote:Quote:I mean without references I can not conclude that myself.It is Nörlund–Rice integral (http://en.wikipedia.org/wiki/N%C3%B6rlun...e_integral). bo198214 Wrote:Is it applicable only to certain functions? See Ansus, your formula is only applicable to (in the right halfplane) polynomially bounded functions , you can read it in your reference. So it is not applicable here, and I dont need to wonder why the formula doesnt work. 
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