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Complex Tetration
#12
mike3 Wrote:Yes, I forgot about that. Robbins' method does not in fact work for every base.

I am not really concerned for the base. In my case, it is enough if it works for all the positive integer base. I am much more interested in complex (or perhaps real) heights. (A. Robbins is here too? Mein gott, this seems like a whole community of mathematicians!)

mike3 Wrote:tetration is not defined for negative-integer heights equal to -2 or less. It has branch points (not poles) at those heights.

Thanks. But why the code gives such results? Is it doing something like regularization for negative integers smaller than -1? What if we define those point by taking principle values of those (if possible)?

mike3 Wrote:I don't know of a code off-hand, but I suppose I could whip one up.

I terribly need some code like that since I don't have mathematica or maple. Please create one if possible.
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Messages In This Thread
Complex Tetration - by Balarka Sen - 02/17/2013, 01:27 PM
RE: Complex Tetration - by bo198214 - 02/18/2013, 09:33 PM
RE: Complex Tetration - by tommy1729 - 02/18/2013, 11:20 PM
RE: Complex Tetration - by mike3 - 02/18/2013, 11:40 PM
RE: Complex Tetration - by Balarka Sen - 02/19/2013, 11:18 AM
RE: Complex Tetration - by sheldonison - 02/19/2013, 05:10 PM
RE: Complex Tetration - by bo198214 - 02/20/2013, 12:01 AM
RE: Complex Tetration - by mike3 - 02/20/2013, 12:06 AM
RE: Complex Tetration - by Balarka Sen - 02/19/2013, 08:07 PM
RE: Complex Tetration - by mike3 - 02/20/2013, 12:21 AM
RE: Complex Tetration - by bo198214 - 02/20/2013, 12:22 AM
RE: Complex Tetration - by Balarka Sen - 02/20/2013, 07:14 AM
RE: Complex Tetration - by mike3 - 02/20/2013, 07:59 AM
RE: Complex Tetration - by Balarka Sen - 02/20/2013, 11:30 AM
RE: Complex Tetration - by sheldonison - 02/20/2013, 12:04 PM
RE: Complex Tetration - by Balarka Sen - 02/21/2013, 01:52 PM
RE: Complex Tetration - by sheldonison - 02/21/2013, 02:23 PM

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