DLMF:10.54.E1 (Q3759)

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DLMF:10.54.E1
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    Statements

    test
    𝗃 n ⁡ ( z ) = z n 2 n + 1 ⁢ n ! ⁢ ∫ 0 π cos ⁡ ( z ⁢ cos ⁡ θ ) ⁢ ( sin ⁡ θ ) 2 ⁢ n + 1 ⁢ d θ . spherical-Bessel-J 𝑛 𝑧 superscript 𝑧 𝑛 superscript 2 𝑛 1 𝑛 superscript subscript 0 𝜋 𝑧 𝜃 superscript 𝜃 2 𝑛 1 𝜃 {\displaystyle{\displaystyle\mathsf{j}_{n}\left(z\right)=\frac{z^{n}}{2^{n+1}n% !}\int_{0}^{\pi}\cos\left(z\cos\theta\right)(\sin\theta)^{2n+1}\mathrm{d}% \theta.}}
    0 references
    DLMF id
    DLMF:10.54.E1
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    Symbols used
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
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