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DLMF:10.7#Ex3 - MaRDI portal

DLMF:10.7#Ex3 (Q3759)

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DLMF:10.7#Ex3
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    Statements

    DLMF defining formula
    J ν ⁡ ( z ) = 2 / ( π ⁢ z ) ⁢ ( cos ⁡ ( z - 1 2 ⁢ ν ⁢ π - 1 4 ⁢ π ) + e | ℑ ⁡ z | ⁢ o ⁡ ( 1 ) ) , Bessel-J 𝜈 𝑧 2 𝜋 𝑧 𝑧 1 2 𝜈 𝜋 1 4 𝜋 superscript 𝑒 𝑧 little-o 1 {\displaystyle{\displaystyle J_{\nu}\left(z\right)=\sqrt{2/(\pi z)}\left(\cos% \left(z-\tfrac{1}{2}\nu\pi-\tfrac{1}{4}\pi\right)+e^{|\Im z|}o\left(1\right)% \right),}}
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    constraint
    | ph ⁡ z | ≤ π - δ ( < π ) phase 𝑧 annotated 𝜋 𝛿 absent 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|\leq\pi-\delta(<\pi)}}
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    Identifiers

     
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