Formula:6691

Digital Library of Mathematical Functions ID 18.28.E20

${\displaystyle{\displaystyle\sum_{y=0}^{N}R_{n}(q^{-y}+\gamma\delta q^{y+1})R_{m}(q^{-y}+\gamma\delta q^{y+1})\omega_{y}=h_{n}\delta_{n,m},}}$

Constraint(s)

${\displaystyle{\displaystyle n,m=0,1,\dots,N}}$

Symbols List

• ${\displaystyle{\displaystyle\delta_{\NVar{j},\NVar{k}}}}$:
• ${\displaystyle{\displaystyle y}}$: real variable
• ${\displaystyle{\displaystyle q}}$: real variable
• ${\displaystyle{\displaystyle m}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle N}}$: positive integer
• ${\displaystyle{\displaystyle\delta}}$: arbitary small positive constant
• ${\displaystyle{\displaystyle h_{n}}}$: 18.2.E5
• ${\displaystyle{\displaystyle R_{n}(x)}}$: 18.28.E19
 

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