DLMF:18.14.E7 (Q5670): Difference between revisions

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Property / constraint
 

0 < λ < 1 0 𝜆 1 {\displaystyle{\displaystyle 0<\lambda<1}}

0<\lambda<1
Property / constraint: 0 < λ < 1 0 𝜆 1 {\displaystyle{\displaystyle 0<\lambda<1}} / rank
 
Normal rank

Revision as of 17:00, 30 December 2019

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DLMF:18.14.E7
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    ( n + λ ) 1 - λ ( 1 - x 2 ) 1 2 λ | C n ( λ ) ( x ) | < 2 1 - λ Γ ( λ ) , superscript 𝑛 𝜆 1 𝜆 superscript 1 superscript 𝑥 2 1 2 𝜆 ultraspherical-Gegenbauer-polynomial 𝜆 𝑛 𝑥 superscript 2 1 𝜆 Euler-Gamma 𝜆 {\displaystyle{\displaystyle{(n+\lambda)^{1-\lambda}(1-x^{2})^{\frac{1}{2}% \lambda}|C^{(\lambda)}_{n}\left(x\right)|<\frac{2^{1-\lambda}}{\Gamma\left(% \lambda\right)}},}}
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    0 < λ < 1 0 𝜆 1 {\displaystyle{\displaystyle 0<\lambda<1}}
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