[Fwd: Approximate zero]

From: Roger Bagula (tftn_at_earthlink.net)
Date: 11/07/04 

Date: Sun, 07 Nov 2004 17:53:38 GMT

-------- Original Message --------
Subject: Approximate zero
Date: Fri, 05 Nov 2004 19:30:31 +0200
From: Ioannis <morpheus@olympus.mons>
Reply-To: morpheus@olympus.mons
Organization: The Illuminati
Newsgroups: sci.math,sci.math.num-analysis

quoting from MathWorld:
http://mathworld.wolfram.com/Alpha-Test.html

For some constant a_0, a(f,z)1}|f^(k)(z)/k!/f'(z)|^(1/(k-1)),

where f^(k)(z)=d^kf/dz^k

Given complex constants {c_1,c_2,...,c_k}, I am interested in applying
this for the class of recursive functions defined by:
f(c_1,c_2,...,c_k;z)=z*exp(c_1*exp(c_2*exp(c_3*...*exp(c_k*exp(z))...)))-y,
y complex constant.

Is there any hope of getting a bound for a(f,z) in this case or does it
still remain a purely theoretical result?

Thanks much for any ideas. 

-- 
I. N. G. --- http://users.forthnet.gr/ath/jgal/
-- 
Respectfully, Roger L. Bagula
tftn@earthlink.net, 11759Waterhill Road, Lakeside,Ca 92040-2905,tel: 619-5610814 :
alternative email: rlbtftn@netscape.net
URL :  http://home.earthlink.net/~tftn

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