DLMF:8.18.E6 (Q2673): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: base of natural logarithm / rank
 
Normal rank
Property / Symbols used: base of natural logarithm / qualifier
 
Defining formula:

e {\displaystyle{\displaystyle\mathrm{e}}}

\expe
Property / Symbols used: base of natural logarithm / qualifier
 
xml-id: C4.S2.E11.m2aadec
Property / Symbols used
 
Property / Symbols used: Q11330 / rank
 
Normal rank
Property / Symbols used: Q11330 / qualifier
 
Defining formula:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q11330 / qualifier
 
xml-id: C8.S1.XMD5.m1cdec
Property / Symbols used
 
Property / Symbols used: Q11361 / rank
 
Normal rank
Property / Symbols used: Q11361 / qualifier
 
Defining formula:

b 𝑏 {\displaystyle{\displaystyle b}}

b
Property / Symbols used: Q11361 / qualifier
 
xml-id: C8.S17.XMD2.m1ddec
Property / Symbols used
 
Property / Symbols used: Q11370 / rank
 
Normal rank
Property / Symbols used: Q11370 / qualifier
 
Defining formula:

ξ 𝜉 {\displaystyle{\displaystyle\xi}}

\xi
Property / Symbols used: Q11370 / qualifier
 
xml-id: C8.S18.XMD1.m1cdec
Property / Symbols used
 
Property / Symbols used: Q11372 / rank
 
Normal rank
Property / Symbols used: Q11372 / qualifier
 
Defining formula:

d k subscript 𝑑 𝑘 {\displaystyle{\displaystyle d_{k}}}

d_{k}
Property / Symbols used: Q11372 / qualifier
 
xml-id: C8.S18.XMD3.m1adec

Latest revision as of 14:06, 2 January 2020

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DLMF:8.18.E6
No description defined

    Statements

    Defining formula
    ( 1 - e - t t ) b - 1 = ∑ k = 0 ∞ d k ⁢ ( t - ξ ) k . superscript 1 superscript 𝑒 𝑡 𝑡 𝑏 1 superscript subscript 𝑘 0 subscript 𝑑 𝑘 superscript 𝑡 𝜉 𝑘 {\displaystyle{\displaystyle\left(\frac{1-e^{-t}}{t}\right)^{b-1}=\sum_{k=0}^{% \infty}d_{k}(t-\xi)^{k}.}}
    0 references
    DLMF id
    DLMF:8.18.E6
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    Symbols used
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2aadec
    0 references
    Q11330
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C8.S1.XMD5.m1cdec
    0 references
    Q11361
    Defining formula
    b 𝑏 {\displaystyle{\displaystyle b}}
    xml-id
    C8.S17.XMD2.m1ddec
    0 references
    Q11370
    Defining formula
    ξ 𝜉 {\displaystyle{\displaystyle\xi}}
    xml-id
    C8.S18.XMD1.m1cdec
    0 references
    Q11372
    Defining formula
    d k subscript 𝑑 𝑘 {\displaystyle{\displaystyle d_{k}}}
    xml-id
    C8.S18.XMD3.m1adec
    0 references
     
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