OurBigBook.comSite Source code

Sturm-Liouville eigenfunction expansion

For a regular self-adjoint Sturm-Liouville problem, eigenfunctions are orthogonal in the weighted inner product

⟨ f, g ⟩_{w} = \int f g w,

and the coefficient of

y_{n}

is

⟨ f, y_{n} ⟩_{w} / ⟨ y_{n}, y_{n} ⟩_{w}

.

 Ancestors (6)

 Incoming links (1)

Solution