DLMF:11.11.E11 (Q4075): Difference between revisions

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Property / constraint
 

ν + 𝜈 {\displaystyle{\displaystyle\nu\to+\infty}}

\nu\to+\infty
Property / constraint: ν + 𝜈 {\displaystyle{\displaystyle\nu\to+\infty}} / rank
 
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Revision as of 16:43, 30 December 2019

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DLMF:11.11.E11
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    𝐀 - ν ( λ ν ) ( 2 π ν ) 1 / 2 e - ν μ k = 0 ( 1 2 ) k b k ( λ ) ν k , asymptotic-expansion associated-Anger-Weber-A 𝜈 𝜆 𝜈 superscript 2 𝜋 𝜈 1 2 superscript 𝑒 𝜈 𝜇 superscript subscript 𝑘 0 subscript 1 2 𝑘 subscript 𝑏 𝑘 𝜆 superscript 𝜈 𝑘 {\displaystyle{\displaystyle\mathbf{A}_{-\nu}\left(\lambda\nu\right)\sim\left(% \frac{2}{\pi\nu}\right)^{1/2}e^{-\nu\mu}\sum_{k=0}^{\infty}\frac{(\tfrac{1}{2}% )_{k}b_{k}(\lambda)}{\nu^{k}},}}
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    ν + 𝜈 {\displaystyle{\displaystyle\nu\to+\infty}}
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