DLMF:11.11.E10 (Q4074)

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DLMF:11.11.E10
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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}},}}
    0 references
    DLMF id
    DLMF:11.11.E10
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    constraint
    Ξ½ β†’ + ∞ β†’ 𝜈 {\displaystyle{\displaystyle\nu\to+\infty}}
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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.m2abdec
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