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DLMF:10.58#Ex3 - MaRDI portal

DLMF:10.58#Ex3 (Q4470)

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DLMF:10.58#Ex3
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    𝗃 n ( a n , m ) = π 2 j n + 1 2 , m J n + 1 2 ( j n + 1 2 , m ) , diffop spherical-Bessel-J 𝑛 1 subscript 𝑎 𝑛 𝑚 𝜋 2 zero-Bessel-J 𝑛 1 2 𝑚 diffop Bessel-J 𝑛 1 2 1 zero-Bessel-J 𝑛 1 2 𝑚 {\displaystyle{\displaystyle\mathsf{j}_{n}'\left(a_{n,m}\right)=\sqrt{\frac{% \pi}{2j_{n+\frac{1}{2},m}}}J_{n+\frac{1}{2}}'\left(j_{n+\frac{1}{2},m}\right),}}
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