Can you get the trigonometric series from complex Fourier ?

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fighter5555

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Fourier series

It is possible to get the trigonometric series from complex fourier series
 

Re: Fourier series

It is clear that it's possible easily by Euler Identity .
 

Re: Fourier series

yes its posible. most mathematical books with forier analysis in it has that proof. if you still cant find it let me know and i will post it.

maayan
 

Re: Fourier series

mayyan can you pls post the solution
thks
 

Re: Fourier series

substitute cos Φ = e(iΦ) + e(-iΦ) / 2
sin Φ = e(iΦ) - e(-iΦ) / 2

Regards
drdolittle
 

Re: Fourier series

DrDolittle said:
substitute cos Φ = e(iΦ) + e(-iΦ) / 2
sin Φ = e(iΦ) - e(-iΦ) / 2

Regards
drdolittle
Click to expand...

the second identity is in fact sin Φ = e(iΦ) - e(-iΦ) / 2i

regards,
baluba
 

Re: Fourier series

Oh yeah,thanx for that note. i forgot to add that i factor.

Regards
drdolittle
 

Fourier series

h**p://satyap.csoft.net/ss.pdf
 

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