DLMF:10.54.E4 (Q3762): 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
 
Normal rank

Revision as of 16:41, 30 December 2019

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DLMF:10.54.E4
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    Statements

    test
    𝗃 n ⁡ ( z ) = ( - i ) n + 1 2 ⁢ π ⁢ ∫ i ⁢ ∞ ( - 1 + , 1 + ) e i ⁢ z ⁢ t ⁢ Q n ⁡ ( t ) ⁢ d t , spherical-Bessel-J 𝑛 𝑧 superscript 𝑖 𝑛 1 2 𝜋 superscript subscript 𝑖 limit-from 1 limit-from 1 superscript 𝑒 𝑖 𝑧 𝑡 shorthand-Legendre-Q-second-kind 𝑛 𝑡 𝑡 {\displaystyle{\displaystyle\mathsf{j}_{n}\left(z\right)=\frac{(-i)^{n+1}}{2% \pi}\int_{i\infty}^{(-1+,1+)}e^{izt}Q_{n}\left(t\right)\mathrm{d}t,}}
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    DLMF id
    DLMF:10.54.E4
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    constraint
    | ph ⁡ z | < 1 2 ⁢ π . phase 𝑧 1 2 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|<\tfrac{1}{2}\pi.}}
    0 references
     
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