DLMF:10.60.E9 (Q3784)

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DLMF:10.60.E9
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    e - z ⁢ cos ⁡ α = ∑ n = 0 ∞ ( - 1 ) n ⁢ ( 2 ⁢ n + 1 ) ⁢ 𝗂 n ( 1 ) ⁡ ( z ) ⁢ P n ⁡ ( cos ⁡ α ) . superscript 𝑒 𝑧 𝛼 superscript subscript 𝑛 0 superscript 1 𝑛 2 𝑛 1 spherical-Bessel-I-1 𝑛 𝑧 shorthand-Legendre-P-first-kind 𝑛 𝛼 {\displaystyle{\displaystyle e^{-z\cos\alpha}=\sum_{n=0}^{\infty}(-1)^{n}(2n+1% ){\mathsf{i}^{(1)}_{n}}\left(z\right)P_{n}\left(\cos\alpha\right).}}
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    DLMF id
    DLMF:10.60.E9
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