Difference between revisions of "EulerFourier formulas"
From Encyclopedia of Mathematics
(Importing text file) 
Ulf Rehmann (talk  contribs) m (moved Euler–Fourier formulas to EulerFourier formulas: ascii title) 
(No difference)

Revision as of 20:51, 24 March 2012
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:
EulerFourier formulas. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=EulerFourier_formulas&oldid=12665
EulerFourier formulas. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=EulerFourier_formulas&oldid=12665