DLMF:18.7.E25 (Q5593): Difference between revisions

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Property / constraint
 

n 1 𝑛 1 {\displaystyle{\displaystyle n\geq 1}}

n\geq 1
Property / constraint: n 1 𝑛 1 {\displaystyle{\displaystyle n\geq 1}} / rank
 
Normal rank

Revision as of 16:59, 30 December 2019

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DLMF:18.7.E25
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    Statements

    lim λ 0 1 λ C n ( λ ) ( x ) = 2 n T n ( x ) , subscript 𝜆 0 1 𝜆 ultraspherical-Gegenbauer-polynomial 𝜆 𝑛 𝑥 2 𝑛 Chebyshev-polynomial-first-kind-T 𝑛 𝑥 {\displaystyle{\displaystyle\lim_{\lambda\to 0}\frac{1}{\lambda}C^{(\lambda)}_% {n}\left(x\right)=\frac{2}{n}T_{n}\left(x\right),}}
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    n 1 𝑛 1 {\displaystyle{\displaystyle n\geq 1}}
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