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DLMF:1.9.E50 - MaRDI portal

DLMF:1.9.E50 (Q296)

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DLMF:1.9.E50
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    Statements

    DLMF defining formula
    ∑ n = 0 ∞ ( a n ± b n ) ⁢ z n = ∑ n = 0 ∞ a n ⁢ z n ± ∑ n = 0 ∞ b n ⁢ z n , subscript superscript 𝑛 0 plus-or-minus subscript 𝑎 𝑛 subscript 𝑏 𝑛 superscript 𝑧 𝑛 plus-or-minus subscript superscript 𝑛 0 subscript 𝑎 𝑛 superscript 𝑧 𝑛 subscript superscript 𝑛 0 subscript 𝑏 𝑛 superscript 𝑧 𝑛 {\displaystyle{\displaystyle\sum^{\infty}_{n=0}(a_{n}\pm b_{n})z^{n}=\sum^{% \infty}_{n=0}a_{n}z^{n}\pm\sum^{\infty}_{n=0}b_{n}z^{n},}}
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C1.S1.XMD1.m1addec
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    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C1.S1.XMD7.m1hdec
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    Identifiers

     
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