DLMF:15.12.E4 (Q5164)

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DLMF:15.12.E4
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    Statements

    test
    ( e t - 1 t ) b - 1 ⁢ e t ⁢ ( 1 - c ) ⁢ ( 1 - z + z ⁢ e - t ) - a = ∑ s = 0 ∞ q s ⁢ ( z ) ⁢ t s . superscript superscript 𝑒 𝑡 1 𝑡 𝑏 1 superscript 𝑒 𝑡 1 𝑐 superscript 1 𝑧 𝑧 superscript 𝑒 𝑡 𝑎 superscript subscript 𝑠 0 subscript 𝑞 𝑠 𝑧 superscript 𝑡 𝑠 {\displaystyle{\displaystyle\left(\frac{e^{t}-1}{t}\right)^{b-1}e^{t(1-c)}% \left(1-z+ze^{-t}\right)^{-a}=\sum_{s=0}^{\infty}q_{s}(z)t^{s}.}}
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    DLMF id
    DLMF:15.12.E4
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2adec
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    Q11648
    test
    s 𝑠 {\displaystyle{\displaystyle s}}
    xml-id
    C15.S1.XMD11.m1bdec
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    Q11644
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C15.S1.XMD3.m1cdec
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    Q11645
    test
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C15.S1.XMD4.m1bdec
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    Q11646
    test
    b 𝑏 {\displaystyle{\displaystyle b}}
    xml-id
    C15.S1.XMD5.m1bdec
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    Q11647
    test
    c 𝑐 {\displaystyle{\displaystyle c}}
    xml-id
    C15.S1.XMD6.m1bdec
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    Q11681
    test
    q s ⁢ ( z ) subscript 𝑞 𝑠 𝑧 {\displaystyle{\displaystyle q_{s}(z)}}
    xml-id
    C15.S12.XMD2.m1adec
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