DLMF:9.12.E27 (Q2955): Difference between revisions

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Property / constraint
 

| ph ( - z ) | 2 3 π - δ phase 𝑧 2 3 𝜋 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}\left(-z\right)|\leq\tfrac{2}{3}% \pi-\delta}}

|\phase@{-z}|\leq\tfrac{2}{3}\pi-\delta
Property / constraint: | ph ( - z ) | 2 3 π - δ phase 𝑧 2 3 𝜋 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}\left(-z\right)|\leq\tfrac{2}{3}% \pi-\delta}} / rank
 
Normal rank

Revision as of 17:14, 30 December 2019

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DLMF:9.12.E27
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    Hi ( z ) - 1 π z k = 0 ( 3 k ) ! k ! ( 3 z 3 ) k , asymptotic-expansion Scorer-Hi 𝑧 1 𝜋 𝑧 superscript subscript 𝑘 0 3 𝑘 𝑘 superscript 3 superscript 𝑧 3 𝑘 {\displaystyle{\displaystyle\mathrm{Hi}\left(z\right)\sim-\frac{1}{\pi z}\sum_% {k=0}^{\infty}\frac{(3k)!}{k!(3z^{3})^{k}},}}
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    DLMF:9.12.E27
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    | ph ( - z ) | 2 3 π - δ phase 𝑧 2 3 𝜋 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}\left(-z\right)|\leq\tfrac{2}{3}% \pi-\delta}}
    0 references