DLMF:2.3.E3 (Q718)

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DLMF:2.3.E3
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    Statements

    Defining formula
    σ n = sup ( 0 , ∞ ) ⁡ ( t - 1 ⁢ ln ⁡ | q ( n ) ⁢ ( t ) / q ( n ) ⁢ ( 0 ) | ) subscript 𝜎 𝑛 subscript supremum 0 superscript 𝑡 1 superscript 𝑞 𝑛 𝑡 superscript 𝑞 𝑛 0 {\displaystyle{\displaystyle\sigma_{n}=\sup_{(0,\infty)}(t^{-1}\ln|q^{(n)}(t)/% q^{(n)}(0)|)}}
    0 references
    DLMF id
    DLMF:2.3.E3
    0 references
    Symbols used
    principal branch of logarithm function
    Defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2adec
    0 references
    Q10777
    Defining formula
    ( a , b ) 𝑎 𝑏 {\displaystyle{\displaystyle(\NVar{a},\NVar{b})}}
    xml-id
    introduction.Sx4.p1.t1.r29.m6adec
    0 references
    Q10775
    Defining formula
    sup supremum {\displaystyle{\displaystyle\sup}}
    xml-id
    introduction.Sx4.p1.t1.r26.m2adec
    0 references
    Q10945
    Defining formula
    q ⁢ ( t ) 𝑞 𝑡 {\displaystyle{\displaystyle q(t)}}
    xml-id
    C2.S3.XMD1.m1bdec
    0 references
    Q10946
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C2.S3.XMD3.m1dec
    0 references
     
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