DLMF:2.1.E9 (Q693): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10923 / rank
 
Normal rank
Property / Symbols used: Q10923 / qualifier
 
test:

ℂ {\displaystyle{\displaystyle\mathbb{C}}}

\Complexes
Property / Symbols used: Q10923 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r1.m2abdec
Property / Symbols used
 
Property / Symbols used: base of natural logarithm / rank
 
Normal rank
Property / Symbols used: base of natural logarithm / qualifier
 
test:

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

\expe
Property / Symbols used: base of natural logarithm / qualifier
 
xml-id: C4.S2.E11.m2abdec

Latest revision as of 15:47, 1 January 2020

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DLMF:2.1.E9
No description defined

    Statements

    test
    e z = 1 + z + O ⁡ ( z 2 ) , superscript 𝑒 𝑧 1 𝑧 Big-O superscript 𝑧 2 {\displaystyle{\displaystyle e^{z}=1+z+O\left(z^{2}\right),}}
    0 references
    DLMF id
    DLMF:2.1.E9
    0 references
    constraint
    ℂ {\displaystyle{\displaystyle\mathbb{C}}}
    0 references
    z → 0 → 𝑧 0 {\displaystyle{\displaystyle z\to 0}}
    0 references
    ℂ ℂ {\displaystyle{\displaystyle\mathbb{C}}}
    0 references
    Symbols used
    order not exceeding
    test
    O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
    xml-id
    C2.S1.E3.m2addec
    0 references
    Q10923
    test
    ℂ {\displaystyle{\displaystyle\mathbb{C}}}
    xml-id
    introduction.Sx4.p1.t1.r1.m2abdec
    0 references
    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2abdec
    0 references
     
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