DLMF:10.49.E20 (Q3724)

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DLMF:10.49.E20
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    test
    ( 𝗂 n ( 1 ) ⁡ ( z ) ) 2 - ( 𝗂 n ( 2 ) ⁡ ( z ) ) 2 = ( - 1 ) n + 1 ⁢ ∑ k = 0 n ( - 1 ) k ⁢ s k ⁢ ( n + 1 2 ) z 2 ⁢ k + 2 . superscript spherical-Bessel-I-1 𝑛 𝑧 2 superscript spherical-Bessel-I-2 𝑛 𝑧 2 superscript 1 𝑛 1 superscript subscript 𝑘 0 𝑛 superscript 1 𝑘 subscript 𝑠 𝑘 𝑛 1 2 superscript 𝑧 2 𝑘 2 {\displaystyle{\displaystyle\left({\mathsf{i}^{(1)}_{n}}\left(z\right)\right)^% {2}-\left({\mathsf{i}^{(2)}_{n}}\left(z\right)\right)^{2}=(-1)^{n+1}\sum_{k=0}% ^{n}(-1)^{k}\frac{s_{k}(n+\frac{1}{2})}{z^{2k+2}}.}}
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    DLMF id
    DLMF:10.49.E20
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