DLMF:3.6.E9 (Q1314)

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DLMF:3.6.E9
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    Statements

    test
    | e N p N ⁢ p N + 1 | ≤ ϵ ⁢ min 1 ≤ n ≤ M ⁡ | e n p n ⁢ p n + 1 | . subscript 𝑒 𝑁 subscript 𝑝 𝑁 subscript 𝑝 𝑁 1 italic-ϵ subscript 1 𝑛 𝑀 subscript 𝑒 𝑛 subscript 𝑝 𝑛 subscript 𝑝 𝑛 1 {\displaystyle{\displaystyle\left|\frac{e_{N}}{p_{N}p_{N+1}}\right|\leq% \epsilon\min_{1\leq n\leq M}\left|\frac{e_{n}}{p_{n}p_{n+1}}\right|.}}
    0 references
    DLMF id
    DLMF:3.6.E9
    0 references
    Symbols used
    Q11185
    test
    N 𝑁 {\displaystyle{\displaystyle N}}
    xml-id
    C3.S6.XMD11.m1dec
    0 references
    Q11186
    test
    ϵ italic-ϵ {\displaystyle{\displaystyle\epsilon}}
    xml-id
    C3.S6.XMD12.m1dec
    0 references
    Q11187
    test
    M 𝑀 {\displaystyle{\displaystyle M}}
    xml-id
    C3.S6.XMD13.m1dec
    0 references
    Q11184
    test
    p n subscript 𝑝 𝑛 {\displaystyle{\displaystyle p_{n}}}
    xml-id
    C3.S6.XMD14.m1adec
    0 references
    sequence (locally)
    test
    e n subscript 𝑒 𝑛 {\displaystyle{\displaystyle e_{n}}}
    xml-id
    C3.S6.XMD15.m1adec
    0 references
     
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