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Re:complex coefficients and rules...


Richard, 

You might want to look at ComplexExpand function which assumes all
variables are real

In[8]:=ComplexExpand[Conjugate[Exp[-4*I*y]]]

Out[8]=Cos[4*y] + I*Sin[4*y]

or

In[7]:=TrigToExp[ComplexExpand[Conjugate[Exp[-4*I*y]]]]

Out[7]=E^(4*I*y)

Cheers,

Brian


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