Euler-Fourier formulas
From Encyclopedia of Mathematics
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Formulas for the coefficients of a Fourier series.
Comments
If 
is a function of period 
defined on the real line and if 
, then the formulas are:
 |
 |
and
 |
The formal series
 |
and
 |
are both called the Fourier series of 
. They have the same partial sums:
 |
for all 
and all 
. The coefficient 
is also denoted by 
.
How to Cite This Entry:
Euler-Fourier formulas. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Euler-Fourier_formulas&oldid=22387
Euler-Fourier formulas. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Euler-Fourier_formulas&oldid=22387