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 The "little" differential operator and applications to tetration JmsNxn Long Time Fellow Posts: 291 Threads: 67 Joined: Dec 2010 04/23/2011, 06:25 PM (04/22/2011, 12:29 PM)tommy1729 Wrote: you asked for a function f such that little derivative = little geo derivative ? i was talking about that. oh no no, I was asking for a function f that satisfied this identity: $1:\frac{d*}{dx}f(x) = e^{1:\frac{d}{dx} f(x-1)}$ where the left side is the little geometric derivative and the right side is e to the power of the little derivative of f(x-1). I just have a curiosity that this function is related to tetration; because tetration satisfies: $\frac{d*}{dx}sexp(x) = e^{\frac{d}{dx}sexp(x-1)}$ but it's just a hunch. « Next Oldest | Next Newest »

 Messages In This Thread The "little" differential operator and applications to tetration - by JmsNxn - 04/19/2011, 08:19 PM RE: The "little" differential operator and applications to tetration - by Gottfried - 04/20/2011, 06:31 AM RE: The "little" differential operator and applications to tetration - by JmsNxn - 04/20/2011, 08:42 PM RE: The "little" differential operator and applications to tetration - by tommy1729 - 04/21/2011, 11:12 PM RE: The "little" differential operator and applications to tetration - by JmsNxn - 04/21/2011, 11:34 PM RE: The "little" differential operator and applications to tetration - by tommy1729 - 04/22/2011, 12:29 PM RE: The "little" differential operator and applications to tetration - by JmsNxn - 04/23/2011, 06:25 PM

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