Formulas in Fourier series. Hello friends, today it’s all about the formulas in Fourier series. Have a look!

Formulas_Fourier_series_compressed

### Formulas in Fourier series

Here I have a summary of formulas used in the Fourier series. And I will keep on updating this list as well.

**1. Periodic function**

, is the period of the function .

**2. Fourier series of a function with a period **

Here are Fourier coefficients.

**3. Fourier coefficients**

where .

**4. Dirichlet conditions**

As per these conditions, the function will have the above-mentioned Fourier series if

- the function is defined, single-valued snd periodic with the period ,
- both and are peicewise continuous in the interval.

**5. Formulas for specific integrals:**

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