DLMF:1.10.E4 (Q359)

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DLMF:1.10.E4
No description defined

    Statements

    Defining formula
    ( 1 - z ) - α = 1 + α ⁢ z + α ⁢ ( α + 1 ) 2 ! ⁢ z 2 + α ⁢ ( α + 1 ) ⁢ ( α + 2 ) 3 ! ⁢ z 3 + ⋯ , superscript 1 𝑧 𝛼 1 𝛼 𝑧 𝛼 𝛼 1 2 superscript 𝑧 2 𝛼 𝛼 1 𝛼 2 3 superscript 𝑧 3 ⋯ {\displaystyle{\displaystyle(1-z)^{-\alpha}=1+\alpha z+\frac{\alpha(\alpha+1)}% {2!}z^{2}+\frac{\alpha(\alpha+1)(\alpha+2)}{3!}z^{3}+\cdots,}}
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    DLMF id
    DLMF:1.10.E4
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    comment
    Warning: Falling back to standard tex;
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    constraint
    | z | < 1 𝑧 1 {\displaystyle{\displaystyle|z|<1}}
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    Symbols used
    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5abdec
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    Q10760
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C1.S1.XMD1.m1cdec
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