DLMF:24.16.E5 (Q7575): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12111 / rank
 
Normal rank
Property / Symbols used: Q12111 / qualifier
 
Defining formula:

t 𝑡 {\displaystyle{\displaystyle t}}

t
Property / Symbols used: Q12111 / qualifier
 
xml-id: C24.S1.XMD6.m1cdec
Property / Symbols used
 
Property / Symbols used: Q12136 / rank
 
Normal rank
Property / Symbols used: Q12136 / qualifier
 
Defining formula:

b n subscript 𝑏 𝑛 {\displaystyle{\displaystyle b_{n}}}

b_{n}
Property / Symbols used: Q12136 / qualifier
 
xml-id: C24.S16.XMD1.m1dec

Latest revision as of 01:50, 2 January 2020

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DLMF:24.16.E5
No description defined

    Statements

    Defining formula
    t ln ⁡ ( 1 + t ) = ∑ n = 0 ∞ b n ⁢ t n , 𝑡 1 𝑡 superscript subscript 𝑛 0 subscript 𝑏 𝑛 superscript 𝑡 𝑛 {\displaystyle{\displaystyle\frac{t}{\ln\left(1+t\right)}=\sum_{n=0}^{\infty}b% _{n}t^{n},}}
    0 references
    DLMF id
    DLMF:24.16.E5
    0 references
    constraint
    | t | < 1 𝑡 1 {\displaystyle{\displaystyle|t|<1}}
    0 references
    Symbols used
    principal branch of logarithm function
    Defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2aadec
    0 references
    Q12110
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C24.S1.XMD5.m1ddec
    0 references
    Q12111
    Defining formula
    t 𝑡 {\displaystyle{\displaystyle t}}
    xml-id
    C24.S1.XMD6.m1cdec
    0 references
    Q12136
    Defining formula
    b n subscript 𝑏 𝑛 {\displaystyle{\displaystyle b_{n}}}
    xml-id
    C24.S16.XMD1.m1dec
    0 references
     
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