DLMF:11.11.E8 (Q4069)

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DLMF:11.11.E8
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    Statements

    Defining formula
    𝐀 Ξ½ ⁑ ( Ξ» ⁒ Ξ½ ) ∼ 1 Ο€ ⁒ βˆ‘ k = 0 ∞ ( 2 ⁒ k ) ! ⁒ a k ⁒ ( Ξ» ) Ξ½ 2 ⁒ k + 1 , asymptotic-expansion associated-Anger-Weber-A 𝜈 πœ† 𝜈 1 πœ‹ superscript subscript π‘˜ 0 2 π‘˜ subscript π‘Ž π‘˜ πœ† superscript 𝜈 2 π‘˜ 1 {\displaystyle{\displaystyle\mathbf{A}_{\nu}\left(\lambda\nu\right)\sim\frac{1% }{\pi}\sum_{k=0}^{\infty}\frac{(2k)!\,a_{k}(\lambda)}{\nu^{2k+1}},}}
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    DLMF id
    DLMF:11.11.E8
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    constraint
    | ph ⁑ Ξ½ | ≀ Ο€ - Ξ΄ phase 𝜈 πœ‹ 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}\nu|\leq\pi-\delta}}
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    | ph ⁑ Ξ½ | ≀ Ο€ - Ξ΄ ph 𝜈 πœ‹ 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}\nu|\leq\pi-\delta}}
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    < Ο€ absent πœ‹ {\displaystyle{\displaystyle<\pi}}
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    Symbols used
    Anger–Weber function
    Defining formula
    𝐀 Ξ½ ⁑ ( z ) associated-Anger-Weber-A 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{A}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C11.S10.E4.m2aadec
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