DLMF:30.4.E4 (Q8848): Difference between revisions

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Property / constraint
 

- 1 x 1 1 𝑥 1 {\displaystyle{\displaystyle-1\leq x\leq 1}}

-1\leq x\leq 1
Property / constraint: - 1 x 1 1 𝑥 1 {\displaystyle{\displaystyle-1\leq x\leq 1}} / rank
 
Normal rank

Revision as of 18:26, 30 December 2019

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DLMF:30.4.E4
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    𝖯𝗌 n m ( x , γ 2 ) = ( 1 - x 2 ) 1 2 m k = 0 g k x k , spheroidal-wave-on-cut-Ps 𝑚 𝑛 𝑥 superscript 𝛾 2 superscript 1 superscript 𝑥 2 1 2 𝑚 superscript subscript 𝑘 0 subscript 𝑔 𝑘 superscript 𝑥 𝑘 {\displaystyle{\displaystyle\mathsf{Ps}^{m}_{n}\left(x,\gamma^{2}\right)=(1-x^% {2})^{\frac{1}{2}m}\sum_{k=0}^{\infty}g_{k}x^{k},}}
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    DLMF:30.4.E4
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    - 1 x 1 1 𝑥 1 {\displaystyle{\displaystyle-1\leq x\leq 1}}
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