DLMF:10.47.E3 (Q3671): Difference between revisions

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Property / Symbols defined
 
Property / Symbols defined: spherical Bessel function of the first kind / rank
 
Normal rank

Revision as of 16:11, 30 December 2019

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DLMF:10.47.E3
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    𝗃 n ⁡ ( z ) = 1 2 ⁢ π / z ⁢ J n + 1 2 ⁡ ( z ) = ( - 1 ) n ⁢ 1 2 ⁢ π / z ⁢ Y - n - 1 2 ⁡ ( z ) , spherical-Bessel-J 𝑛 𝑧 1 2 𝜋 𝑧 Bessel-J 𝑛 1 2 𝑧 superscript 1 𝑛 1 2 𝜋 𝑧 Bessel-Y-Weber 𝑛 1 2 𝑧 {\displaystyle{\displaystyle\mathsf{j}_{n}\left(z\right)=\sqrt{\tfrac{1}{2}\pi% /z}J_{n+\frac{1}{2}}\left(z\right)=(-1)^{n}\sqrt{\tfrac{1}{2}\pi/z}Y_{-n-\frac% {1}{2}}\left(z\right),}}
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    DLMF:10.47.E3
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