08/11/2013, 07:31 PM

Thanks for your quick reply.

Intresting idea.

Although I must say that - if I recall correct - the continuum sum does not imply uniqueness for tetration.

Then again you might not be after uniqueness but just a nice solution.

This is probably one of your best posts imho.

Although I havent checked all. It seems a bit weird , your integrals seem to lack a variable by being very selfreferential. This might not be a problem but it might be restrictive ... such as L-series or exponential sums ... maybe it can be solved by adding variables.

A problem might be that the n-th derivative is not just the formula of the nth integral with a minus sign added. I assume you knew that already from reading/lectures/exercises about fractional calculus.

Im curious about what others think of it.

regards

tommy1729

Intresting idea.

Although I must say that - if I recall correct - the continuum sum does not imply uniqueness for tetration.

Then again you might not be after uniqueness but just a nice solution.

This is probably one of your best posts imho.

Although I havent checked all. It seems a bit weird , your integrals seem to lack a variable by being very selfreferential. This might not be a problem but it might be restrictive ... such as L-series or exponential sums ... maybe it can be solved by adding variables.

A problem might be that the n-th derivative is not just the formula of the nth integral with a minus sign added. I assume you knew that already from reading/lectures/exercises about fractional calculus.

Im curious about what others think of it.

regards

tommy1729