DLMF:11.6.E7 (Q3983): Difference between revisions

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Property / constraint
 

| ph ⁡ ν | ≤ 1 2 ⁢ π - δ phase 𝜈 1 2 𝜋 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}\nu|\leq\frac{1}{2}\pi-\delta}}

|\phase@@{\nu}|\leq\frac{1}{2}\pi-\delta
Property / constraint: | ph ⁡ ν | ≤ 1 2 ⁢ π - δ phase 𝜈 1 2 𝜋 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}\nu|\leq\frac{1}{2}\pi-\delta}} / rank
 
Normal rank

Revision as of 16:42, 30 December 2019

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DLMF:11.6.E7
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    Statements

    test
    𝐌 ν ⁡ ( λ ⁢ ν ) ∼ - ( 1 2 ⁢ λ ⁢ ν ) ν - 1 π ⁢ Γ ⁡ ( ν + 1 2 ) ⁢ ∑ k = 0 ∞ k ! ⁢ c k ⁢ ( i ⁢ λ ) ν k , asymptotic-expansion associated-Struve-M 𝜈 𝜆 𝜈 superscript 1 2 𝜆 𝜈 𝜈 1 𝜋 Euler-Gamma 𝜈 1 2 superscript subscript 𝑘 0 𝑘 subscript 𝑐 𝑘 𝑖 𝜆 superscript 𝜈 𝑘 {\displaystyle{\displaystyle\mathbf{M}_{\nu}\left(\lambda\nu\right)\sim-\frac{% (\frac{1}{2}\lambda\nu)^{\nu-1}}{\sqrt{\pi}\Gamma\left(\nu+\frac{1}{2}\right)}% \sum_{k=0}^{\infty}\frac{k!c_{k}(i\lambda)}{\nu^{k}},}}
    0 references
    DLMF id
    DLMF:11.6.E7
    0 references
    constraint
    | ph ⁡ ν | ≤ 1 2 ⁢ π - δ phase 𝜈 1 2 𝜋 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}\nu|\leq\frac{1}{2}\pi-\delta}}
    0 references
     
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