DLMF:13.8.E3 (Q4428): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11557 / rank
 
Normal rank
Property / Symbols used: Q11557 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11557 / qualifier
 
xml-id: C13.S1.XMD6.m1bdec

Latest revision as of 15:56, 2 January 2020

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DLMF:13.8.E3
No description defined

    Statements

    Defining formula
    ( e t - 1 ) a - 1 ⁢ exp ⁡ ( t + z ⁢ ( 1 - e - t ) ) = ∑ s = 0 ∞ q s ⁢ ( z , a ) ⁢ t s + a - 1 . superscript superscript 𝑒 𝑡 1 𝑎 1 𝑡 𝑧 1 superscript 𝑒 𝑡 superscript subscript 𝑠 0 subscript 𝑞 𝑠 𝑧 𝑎 superscript 𝑡 𝑠 𝑎 1 {\displaystyle{\displaystyle\left(e^{t}-1\right)^{a-1}\exp\left(t+z(1-e^{-t})% \right)=\sum_{s=0}^{\infty}q_{s}(z,a)t^{s+a-1}.}}
    0 references
    DLMF id
    DLMF:13.8.E3
    0 references
    Symbols used
    exponential function
    Defining formula
    exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}
    xml-id
    C4.S2.E19.m2adec
    0 references
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2adec
    0 references
    Q11558
    Defining formula
    s 𝑠 {\displaystyle{\displaystyle s}}
    xml-id
    C13.S1.XMD3.m1bdec
    0 references
    Q11557
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C13.S1.XMD6.m1bdec
    0 references
     
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