DLMF:10.60.E8 (Q3783)

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DLMF:10.60.E8
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    Statements

    test
    e z ⁢ cos ⁡ α = ∑ n = 0 ∞ ( 2 ⁢ n + 1 ) ⁢ 𝗂 n ( 1 ) ⁡ ( z ) ⁢ P n ⁡ ( cos ⁡ α ) , superscript 𝑒 𝑧 𝛼 superscript subscript 𝑛 0 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}(2n+1){\mathsf% {i}^{(1)}_{n}}\left(z\right)P_{n}\left(\cos\alpha\right),}}
    0 references
    DLMF id
    DLMF:10.60.E8
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    Symbols used
    cosine function
    test
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2addec
    0 references
     
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