Tetration series for integer exponent. Can you find the pattern? marraco Fellow Posts: 100 Threads: 12 Joined: Apr 2011 02/21/2016, 03:27 PM (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 $\vspace{15}n^{th}$ 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. I have the result, but I do not yet know how to get it. « Next Oldest | Next Newest »

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