DLMF:4.2.E26 (Q1522): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11221 / rank
 
Normal rank
Property / Symbols used: Q11221 / qualifier
 
Defining formula:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q11221 / qualifier
 
xml-id: C4.S1.XMD4.m1cdec
Property / Symbols used
 
Property / Symbols used: Q11217 / rank
 
Normal rank
Property / Symbols used: Q11217 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11217 / qualifier
 
xml-id: C4.S1.XMD8.m1sdec

Latest revision as of 18:03, 1 January 2020

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DLMF:4.2.E26
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    Statements

    Defining formula
    z a = exp ⁡ ( a ⁢ Ln ⁡ z ) , superscript 𝑧 𝑎 𝑎 multivalued-natural-logarithm 𝑧 {\displaystyle{\displaystyle z^{a}=\exp\left(a\operatorname{Ln}z\right),}}
    0 references
    DLMF id
    DLMF:4.2.E26
    0 references
    constraint
    z ≠ 0 𝑧 0 {\displaystyle{\displaystyle z\neq 0}}
    0 references
    Symbols used
    exponential function
    Defining formula
    exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}
    xml-id
    C4.S2.E19.m2agdec
    0 references
    general logarithm function
    Defining formula
    Ln ⁡ z multivalued-natural-logarithm 𝑧 {\displaystyle{\displaystyle\operatorname{Ln}\NVar{z}}}
    xml-id
    C4.S2.E1.m2acdec
    0 references
    Q11221
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C4.S1.XMD4.m1cdec
    0 references
    Q11217
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C4.S1.XMD8.m1sdec
    0 references
     
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