DLMF:18.14.E4 (Q5667): Difference between revisions

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Property / constraint
 

λ > 0 𝜆 0 {\displaystyle{\displaystyle\lambda>0}}

\lambda>0
Property / constraint: λ > 0 𝜆 0 {\displaystyle{\displaystyle\lambda>0}} / rank
 
Normal rank

Revision as of 17:00, 30 December 2019

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DLMF:18.14.E4
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    | C n ( λ ) ( x ) | C n ( λ ) ( 1 ) = ( 2 λ ) n n ! , ultraspherical-Gegenbauer-polynomial 𝜆 𝑛 𝑥 ultraspherical-Gegenbauer-polynomial 𝜆 𝑛 1 Pochhammer 2 𝜆 𝑛 𝑛 {\displaystyle{\displaystyle|C^{(\lambda)}_{n}\left(x\right)|\leq C^{(\lambda)% }_{n}\left(1\right)=\frac{{\left(2\lambda\right)_{n}}}{n!},}}
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    λ > 0 𝜆 0 {\displaystyle{\displaystyle\lambda>0}}
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