DLMF:2.10.E32 (Q1019): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q11131 / rank
 
Normal rank
Property / Symbols used: Q11131 / qualifier
 
Defining formula:

g ( z ) 𝑔 𝑧 {\displaystyle{\displaystyle g(z)}}

g(z)
Property / Symbols used: Q11131 / qualifier
 
xml-id: C2.S10.XMD17.m1cdec

Revision as of 17:37, 1 January 2020

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DLMF:2.10.E32
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    Statements

    f ( m ) ( z ) - g ( m ) ( z ) = O ( ( z - z j ) σ j - 1 ) , superscript 𝑓 𝑚 𝑧 superscript 𝑔 𝑚 𝑧 Big-O superscript 𝑧 subscript 𝑧 𝑗 subscript 𝜎 𝑗 1 {\displaystyle{\displaystyle f^{(m)}(z)-g^{(m)}(z)=O\left((z-z_{j})^{\sigma_{j% }-1}\right),}}
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    DLMF:2.10.E32
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    O ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
    C2.S1.E3.m2agdec
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    f ( x ) 𝑓 𝑥 {\displaystyle{\displaystyle f(x)}}
    C2.S10.XMD13.m1ddec
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    g ( z ) 𝑔 𝑧 {\displaystyle{\displaystyle g(z)}}
    C2.S10.XMD17.m1cdec
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