jaci55555
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find all the entire functions f for which f(2-i) = 4i and |f(z)|<= e^2
if f is entire on Complex, and there exists M,K element R^+ and k element N such that
|f(z)|<= M * |z^k|
for all z element Complex with |z|>=K then f is polynomial with degree <=k
can i use this thereom? if i do, then the |z^k| part is 1 and so M is e^2.
but then i should try find the k...
I'm not sure
i know that x^2 - 6X + 9 is an entire function there, but i just worked it out...
if f is entire on Complex, and there exists M,K element R^+ and k element N such that
|f(z)|<= M * |z^k|
for all z element Complex with |z|>=K then f is polynomial with degree <=k
can i use this thereom? if i do, then the |z^k| part is 1 and so M is e^2.
but then i should try find the k...
I'm not sure
i know that x^2 - 6X + 9 is an entire function there, but i just worked it out...