DLMF:18.12.E12 (Q5654)

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DLMF:18.12.E12
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    e x z J 0 ( z 1 - x 2 ) = n = 0 P n ( x ) n ! z n . superscript 𝑒 𝑥 𝑧 Bessel-J 0 𝑧 1 superscript 𝑥 2 superscript subscript 𝑛 0 Legendre-spherical-polynomial 𝑛 𝑥 𝑛 superscript 𝑧 𝑛 {\displaystyle{\displaystyle e^{xz}J_{0}\left(z\sqrt{1-x^{2}}\right)=\sum_{n=0% }^{\infty}\frac{P_{n}\left(x\right)}{n!}z^{n}.}}
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