DLMF:1.12.E4 (Q397)

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DLMF:1.12.E4
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    Statements

    DLMF defining formula
    C n = b 0 + a 1 b 1 + a 2 b 2 + ⋯ a n b n = A n B n . subscript 𝐶 𝑛 subscript 𝑏 0 continued-fraction subscript 𝑎 1 subscript 𝑏 1 continued-fraction subscript 𝑎 2 subscript 𝑏 2 ⋯ continued-fraction subscript 𝑎 𝑛 subscript 𝑏 𝑛 subscript 𝐴 𝑛 subscript 𝐵 𝑛 {\displaystyle{\displaystyle C_{n}=b_{0}+\cfrac{a_{1}}{b_{1}+\cfrac{a_{2}}{b_{% 2}+\cdots\cfrac{a_{n}}{b_{n}}}}=\frac{A_{n}}{B_{n}}.}}
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C1.S1.XMD7.m1adec
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    n th numerator
    DLMF defining formula
    A n subscript 𝐴 𝑛 {\displaystyle{\displaystyle A_{n}}}
    xml-id
    C1.S12.XMD3.m1dec
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    n th denominator
    DLMF defining formula
    B n subscript 𝐵 𝑛 {\displaystyle{\displaystyle B_{n}}}
    xml-id
    C1.S12.XMD4.m1dec
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    continued fraction
    DLMF defining formula
    C n ⁢ ( w ) subscript 𝐶 𝑛 𝑤 {\displaystyle{\displaystyle C_{n}(w)}}
    xml-id
    C1.S12.XMD6.m1dec
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    Identifiers

     
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