DLMF:13.2.E23 (Q4313): Difference between revisions

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Property / constraint
 

| ph z | 1 2 π - δ phase 𝑧 1 2 𝜋 𝛿 {\displaystyle{\displaystyle\left|\operatorname{ph}z\right|\leq\frac{1}{2}\pi-% \delta}}

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

Revision as of 16:45, 30 December 2019

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DLMF:13.2.E23
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    Statements

    𝐌 ( a , b , z ) e z z a - b / Γ ( a ) , asymptotically-equals Kummer-confluent-hypergeometric-bold-M 𝑎 𝑏 𝑧 superscript 𝑒 𝑧 superscript 𝑧 𝑎 𝑏 Euler-Gamma 𝑎 {\displaystyle{\displaystyle{\mathbf{M}}\left(a,b,z\right)\sim\ifrac{e^{z}z^{a% -b}}{\Gamma\left(a\right)},}}
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    | ph z | 1 2 π - δ phase 𝑧 1 2 𝜋 𝛿 {\displaystyle{\displaystyle\left|\operatorname{ph}z\right|\leq\frac{1}{2}\pi-% \delta}}
    0 references