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DLMF:6.10.E5 - MaRDI portal

DLMF:6.10.E5 (Q2980)

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DLMF:6.10.E5
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    Statements

    DLMF defining formula
    Cin ⁡ ( z ) = ∑ n = 1 ∞ a n ⁢ ( 𝗃 n ⁡ ( 1 2 ⁢ z ) ) 2 , cosine-integral-Cin 𝑧 superscript subscript 𝑛 1 subscript 𝑎 𝑛 superscript spherical-Bessel-J 𝑛 1 2 𝑧 2 {\displaystyle{\displaystyle\mathrm{Cin}\left(z\right)=\sum_{n=1}^{\infty}a_{n% }\left(\mathsf{j}_{n}\left(\tfrac{1}{2}z\right)\right)^{2},}}
    0 references
    Symbols used
    cosine integral
    DLMF defining formula
    Cin ⁡ ( z ) cosine-integral-Cin 𝑧 {\displaystyle{\displaystyle\mathrm{Cin}\left(\NVar{z}\right)}}
    xml-id
    C6.S2.E12.m2adec
    0 references
    spherical Bessel function of the first kind
    DLMF defining formula
    𝗃 n ⁡ ( z ) spherical-Bessel-J 𝑛 𝑧 {\displaystyle{\displaystyle\mathsf{j}_{\NVar{n}}\left(\NVar{z}\right)}}
    xml-id
    C10.S47.E3.m2aadec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C6.S1.XMD2.m1bdec
    0 references
    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C6.S1.XMD3.m1adec
    0 references
    coefficients (locally)
    DLMF defining formula
    a n subscript 𝑎 𝑛 {\displaystyle{\displaystyle a_{n}}}
    xml-id
    C6.S10.XMD1.m1dec
    0 references

    Identifiers

     
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