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problem to define a complex variable


i want to use complex variable such as
c[i_]=re[i]+I*im[i]
then I get
conj[c[i]] =re[i]-I*im[i]
by stating
conj[a_]:=complexexpand[conjugate[a]];
but now i am writing
c[i_][t_]=re[i][t]+I*im[i][t]
but i am not getting
conj[c[i][t]]=re[i][t]-I*im[i][t]
by stating
conj[a_]:=ComplexExpand[Conjugate[a[i][t]]]

is there any way of writing this thing?
any help will be very much appreciated.
regards,
tarun


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