DLMF:10.54.E3 (Q3761): Difference between revisions

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Property / constraint
 

| ph z | < 1 2 π . phase 𝑧 1 2 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|<\tfrac{1}{2}\pi.}}

|\phase@@{z}|<\tfrac{1}{2}\pi.
Property / constraint: | ph z | < 1 2 π . phase 𝑧 1 2 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|<\tfrac{1}{2}\pi.}} / rank
 
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Revision as of 17:41, 30 December 2019

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DLMF:10.54.E3
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    𝗄 n ( z ) = π 2 1 e - z t P n ( t ) d t , spherical-Bessel-K 𝑛 𝑧 𝜋 2 superscript subscript 1 superscript 𝑒 𝑧 𝑡 shorthand-Legendre-P-first-kind 𝑛 𝑡 𝑡 {\displaystyle{\displaystyle\mathsf{k}_{n}\left(z\right)=\frac{\pi}{2}\int_{1}% ^{\infty}e^{-zt}P_{n}\left(t\right)\mathrm{d}t,}}
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    DLMF:10.54.E3
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    | ph z | < 1 2 π . phase 𝑧 1 2 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|<\tfrac{1}{2}\pi.}}
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