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+--- Thread: Question about power series (/showthread.php?tid=266)
Question about power series - tommy1729 - 04/05/2009
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 )
RE: weird question - andydude - 04/06/2009
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.