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+--- Thread: Tetration series for integer exponent. Can you find the pattern? (/showthread.php?tid=1053)
RE: Tetration series for integer exponent. Can you find the pattern? - marraco - 02/21/2016
(02/15/2016, 10:37 AM)Gottfried Wrote: got stuck with the question how to define the half-derivative of the zeta at zero (based on the Dirichlet-series representation) and this question is still open in mathoverflow...
Did you tried to make a Laplace transform? (if that exist for a matrix)
then an \( \\[15pt]
n^{th} \) derivative is just a product with a simple function raised to n, and a fractional derivative is just a fractional value for n.
Ok, this may not be one standard definition of fractional derivative, but maybe it leads somewhere.