Writing a complex function as a power series?
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I have been asked to write the following summation as a power series: $$sum_{n geq 500} i^n frac {z^{5n-2}}{n!}. $$ I know that by comparison to the power series $$sum_{n geq 0} a_n (z-a)^n, $$ we can let $$ a_n = frac {i^n}{n!},$$ and we can let $$a=0.$$ I am unsure how to represent the $$ n geq 500 text { and the power } 5n-2. $$ Thanks
complex-analysis power-series
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asked Dec 2 '18 at 17:21
Yalovetoseeit Yalovetoseeit
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