DLMF:11.11.E4 (Q4064)

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DLMF:11.11.E4
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    𝐀 ν ( z ) 1 π z k = 0 F k ( ν ) z 2 k - ν π z 2 k = 0 G k ( ν ) z 2 k . asymptotic-expansion associated-Anger-Weber-A 𝜈 𝑧 1 𝜋 𝑧 superscript subscript 𝑘 0 subscript 𝐹 𝑘 𝜈 superscript 𝑧 2 𝑘 𝜈 𝜋 superscript 𝑧 2 superscript subscript 𝑘 0 subscript 𝐺 𝑘 𝜈 superscript 𝑧 2 𝑘 {\displaystyle{\displaystyle\mathbf{A}_{\nu}\left(z\right)\sim\frac{1}{\pi z}% \sum_{k=0}^{\infty}\frac{F_{k}(\nu)}{z^{2k}}-\frac{\nu}{\pi z^{2}}\sum_{k=0}^{% \infty}\frac{G_{k}(\nu)}{z^{2k}}.}}
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    DLMF:11.11.E4
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