lemma 1 - Printable Version +- Tetration Forum (https://math.eretrandre.org/tetrationforum) +-- Forum: Tetration and Related Topics (https://math.eretrandre.org/tetrationforum/forumdisplay.php?fid=1) +--- Forum: Mathematical and General Discussion (https://math.eretrandre.org/tetrationforum/forumdisplay.php?fid=3) +--- Thread: lemma 1 (/showthread.php?tid=669) lemma 1 - tommy1729 - 06/29/2011 lemma 1 let f(z) be a real entire function with 2 conjugate fixpoints and no other fixpoints. we define sf(z) as its superfunction and isf(z) as its inverse superfunction. z and k are complex numbers. if sf(isf(z) + k) is analytic with respect to z then it is also analytic with respect to k. regards tommy1729 RE: lemma 1 - bo198214 - 06/29/2011 (06/29/2011, 12:04 PM)tommy1729 Wrote: we define sf(z) as its superfunction and isf(z) as its inverse superfunction. which superfunction? RE: lemma 1 - tommy1729 - 06/30/2011 (06/29/2011, 08:09 PM)bo198214 Wrote: (06/29/2011, 12:04 PM)tommy1729 Wrote: we define sf(z) as its superfunction and isf(z) as its inverse superfunction. which superfunction? any superfunction.