DLMF:11.6.E6 (Q3982)

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DLMF:11.6.E6
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    Statements

    test
    𝐊 ν ⁡ ( λ ⁢ ν ) ∼ ( 1 2 ⁢ λ ⁢ ν ) ν - 1 π ⁢ Γ ⁡ ( ν + 1 2 ) ⁢ ∑ k = 0 ∞ k ! ⁢ c k ⁢ ( λ ) ν k , asymptotic-expansion associated-Struve-K 𝜈 𝜆 𝜈 superscript 1 2 𝜆 𝜈 𝜈 1 𝜋 Euler-Gamma 𝜈 1 2 superscript subscript 𝑘 0 𝑘 subscript 𝑐 𝑘 𝜆 superscript 𝜈 𝑘 {\displaystyle{\displaystyle\mathbf{K}_{\nu}\left(\lambda\nu\right)\sim\frac{(% \tfrac{1}{2}\lambda\nu)^{\nu-1}}{\sqrt{\pi}\Gamma\left(\nu+\tfrac{1}{2}\right)% }\sum_{k=0}^{\infty}\frac{k!c_{k}(\lambda)}{\nu^{k}},}}
    0 references
    DLMF id
    DLMF:11.6.E6
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    constraint
    | ph ⁡ ν | ≤ 1 2 ⁢ π - δ phase 𝜈 1 2 𝜋 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}\nu|\leq\tfrac{1}{2}\pi-\delta}}
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    Symbols used
    gamma function
    test
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2abdec
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