An easy way to define the Fourier-Legendre Series

After showing that a function, f(x), can be seen as a linear combination of orthogonal functions, we use the Legendre Polynomials as the elements of this linear combination. This is because we already show that Legendre Polynomials are orthogonal and, with that result, we can construct what is known as Fourier Legendre Series. In the next video it is shown that Legendre Polynomials are orthogonal    • How to show that Legendre Polynomials are ...   And, in the next lesson, we show that any function can be expressed as a linear combination of orthogonal functions    • Orthogonal Functions. The blocks to constr...   Here is our playlist of Special Functions:    • Special Functions   And, you can follow this content on instagram:   / mathephyks