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 Question about power series tommy1729 Ultimate Fellow Posts: 1,358 Threads: 330 Joined: Feb 2009 04/05/2009, 08:19 PM (This post was last modified: 04/06/2009, 03:58 AM by andydude.) ok , i have this weird question. i encountered it when thinking about tetration , how exactly is complicated ... do we have a typical series expansion for f(z) which always converges for R(z) and I(z) >= 0 ? ( where the infinite sum is considered as the limit of the averages , this limit always exists with that series expansion for R(z) and I(z) >= 0 ) andydude Long Time Fellow Posts: 509 Threads: 44 Joined: Aug 2007 04/06/2009, 03:51 AM tommy1729 Wrote:do we have a typical series expansion for f(z) which always converges for R(z) and I(z) >= 0 ? Nope. We have a series expansion for ${}^{z}e$ about z=0 which seems to converge (no proof) where $|z|<2$ whose coefficients (not exact) can be approximated with several methods. « Next Oldest | Next Newest »

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