Can you get the trigonometric series from complex Fourier ?

[fighter5555]

Fourier series

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

 

[aboozar.hamidipoor]

Re: Fourier series

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

 

[mayyan]

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

 

[fighter5555]

Re: Fourier series

mayyan can you pls post the solution
thks

 

[DrDolittle]

Re: Fourier series

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

Regards
drdolittle

 

[baluba]

Re: Fourier series

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

Regards
drdolittle

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

regards,
baluba

 

[DrDolittle]

Re: Fourier series

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

Regards
drdolittle

 

[tara1]

Fourier series

h**p://satyap.csoft.net/ss.pdf