DLMF:18.18.E29 (Q5819): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11744 / rank
 
Normal rank
Property / Symbols used: Q11744 / qualifier
 
test:

{\displaystyle{\displaystyle\ell}}

\ell
Property / Symbols used: Q11744 / qualifier
 
xml-id: C18.S1.XMD4.m1pdec

Revision as of 00:27, 2 January 2020

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DLMF:18.18.E29
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    = 0 n C ( λ ) ( x ) C n - ( μ ) ( x ) = C n ( λ + μ ) ( x ) . superscript subscript 0 𝑛 ultraspherical-Gegenbauer-polynomial 𝜆 𝑥 ultraspherical-Gegenbauer-polynomial 𝜇 𝑛 𝑥 ultraspherical-Gegenbauer-polynomial 𝜆 𝜇 𝑛 𝑥 {\displaystyle{\displaystyle\sum_{\ell=0}^{n}C^{(\lambda)}_{\ell}\left(x\right% )C^{(\mu)}_{n-\ell}\left(x\right)=C^{(\lambda+\mu)}_{n}\left(x\right).}}
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    C n ( λ ) ( x ) ultraspherical-Gegenbauer-polynomial 𝜆 𝑛 𝑥 {\displaystyle{\displaystyle C^{(\NVar{\lambda})}_{\NVar{n}}\left(\NVar{x}% \right)}}
    C18.S3.T1.t1.r3.m2addec
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    {\displaystyle{\displaystyle\ell}}
    C18.S1.XMD4.m1pdec
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