Formula:KLS:01.01:01

<< Orthogonal Polynomials

formula in Orthogonal polynomials

Formula:KLS:01.01:02 >>

${\displaystyle{\displaystyle{\displaystyle\int_{a}^{b}p_{m}(x)p_{n}(x)w(x)\,dx=0,\quad m\neq n}}}$

Constraint(s)

${\displaystyle{\displaystyle{\displaystyle m,n\in\{0,1,2,\ldots\}}}}$

Proof

We ask users to provide proof(s), reference(s) to proof(s), or further clarification on the proof(s) in this space.

Symbols List

${\displaystyle{\displaystyle{\displaystyle\int}}}$ : integral : http://dlmf.nist.gov/1.4#iv
${\displaystyle{\displaystyle{\displaystyle\in}}}$ : element of : http://dlmf.nist.gov/front/introduction#Sx4.p1.t1.r9

Bibliography

Equation in Section 1.1 of KLS.

URL links

We ask users to provide relevant URL links in this space.

<< Orthogonal Polynomials

formula in Orthogonal polynomials

Formula:KLS:01.01:02 >>