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Taylor series of upx function

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Taylor series of upx function
Kouznetsov Offline
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#17
02/20/2009, 08:43 AM
Ansus Wrote:...
\(
f_a(x+1)=a^{f_a(x)}
\)

differentiate

\(
f'_a(x+1)=a^{f_a(x)}\ln a f'_a(x)
\)

induction

\(
\frac{f'_a(x)}{f'_a(0)(\ln a)^x}=\prod_{k=0}^x f_a(k)
\)

...
The last statement looks doubtful.
Is it for real values of \( x>-2 \)?
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Messages In This Thread
Taylor series of upx function - by Zagreus - 09/07/2008, 10:56 AM
RE: Taylor series of upx function - by bo198214 - 09/10/2008, 01:56 PM
RE: Taylor series of upx function - by andydude - 10/23/2008, 10:16 PM
RE: Taylor series of upx function - by Kouznetsov - 11/16/2008, 01:40 PM
RE: Taylor series of upx function - by bo198214 - 11/16/2008, 07:17 PM
RE: Taylor series of upx function - by Kouznetsov - 11/17/2008, 04:11 AM
RE: Taylor series of upx function - by bo198214 - 11/18/2008, 11:49 AM
RE: Taylor series of upx function - by Kouznetsov - 12/02/2008, 12:03 PM
RE: Taylor series of upx function - by Kouznetsov - 12/05/2008, 12:30 AM

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