04/27/2009, 11:16 PM

bo198214 Wrote:Summary: is an elementary superfunction of , for .

this result is far from new.

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'in general' super-functions are of hypergeometric or inverse hypergeometric " kind " , where " kind " mainly denotes nested structures.

and with ' in general ' i mean usually if the (original) function is elementary.

i advocated the concept of inverse hypergeometric functions before , as e.g. on sci.math but without much results.

usually , if we arrive at an integral expression for our super-function its hypergeometric or inverse hypergeometric.

and that can often be reduced to elementary by using 'integral calculus'.

i tried to related all of this to half iterations of exp(x) but nothing worked.

mainly because exp(x) lacks a real fixpoint and a real zero at the same time ....

regards

tommy1729