DLMF:10.30.E4 (Q3516): Difference between revisions

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Property / constraint
 

| ph z | 1 2 π - δ phase 𝑧 1 2 𝜋 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{1}{2}\pi-\delta}}

|\phase@@{z}|\leq\tfrac{1}{2}\pi-\delta
Property / constraint: | ph z | 1 2 π - δ phase 𝑧 1 2 𝜋 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{1}{2}\pi-\delta}} / rank
 
Normal rank

Revision as of 16:38, 30 December 2019

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DLMF:10.30.E4
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    Statements

    I ν ( z ) e z / 2 π z , asymptotically-equals modified-Bessel-first-kind 𝜈 𝑧 superscript 𝑒 𝑧 2 𝜋 𝑧 {\displaystyle{\displaystyle I_{\nu}\left(z\right)\sim e^{z}/\sqrt{2\pi z},}}
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    | ph z | 1 2 π - δ phase 𝑧 1 2 𝜋 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{1}{2}\pi-\delta}}
    0 references