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

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
 
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Property / constraint
 

| t | < 1 𝑡 1 {\displaystyle{\displaystyle|t|<1}}

|t|<1
Property / constraint: | t | < 1 𝑡 1 {\displaystyle{\displaystyle|t|<1}} / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: principal branch of logarithm function / rank
 
Normal rank
Property / Symbols used: principal branch of logarithm function / qualifier
 
Defining formula:

ln z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}

\ln@@{\NVar{z}}
Property / Symbols used: principal branch of logarithm function / qualifier
 
xml-id: C4.S2.E2.m2aadec
Property / Symbols used
 
Property / Symbols used: Q12110 / rank
 
Normal rank
Property / Symbols used: Q12110 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q12110 / qualifier
 
xml-id: C24.S1.XMD5.m1ddec
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
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    Statements

    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:24.16.E5
    0 references
    | t | < 1 𝑡 1 {\displaystyle{\displaystyle|t|<1}}
    0 references
    ln z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    C4.S2.E2.m2aadec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C24.S1.XMD5.m1ddec
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    t 𝑡 {\displaystyle{\displaystyle t}}
    C24.S1.XMD6.m1cdec
    0 references
    b n subscript 𝑏 𝑛 {\displaystyle{\displaystyle b_{n}}}
    C24.S16.XMD1.m1dec
    0 references