Formula:KLS:01.01:12

<< Formula:KLS:01.01:11

formula in Orthogonal polynomials

Formula:KLS:01.02:01 >>

${\displaystyle{\displaystyle{\displaystyle\sum_{x\in X}p_{m}(x)p_{n}(x)w_{x}=\sigma_{n}\,\delta_{m,n}}}}$

Constraint(s)

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

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle\Sigma}}}$ : sum : http://drmf.wmflabs.org/wiki/Definition:sum
${\displaystyle{\displaystyle{\displaystyle\in}}}$ : element of : http://dlmf.nist.gov/front/introduction#Sx4.p1.t1.r9
${\displaystyle{\displaystyle{\displaystyle\delta_{m,n}}}}$ : Kronecker delta : http://dlmf.nist.gov/front/introduction#Sx4.p1.t1.r4

Bibliography

Equation in Section 1.1 of KLS.

URL links

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formula in Orthogonal polynomials

Formula:KLS:01.02:01 >>