DLMF:3.11.E22 (Q1463): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: order not exceeding / rank
 
Normal rank
Property / Symbols used: order not exceeding / qualifier
 
Defining formula:

O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

\bigO@{\NVar{x}}
Property / Symbols used: order not exceeding / qualifier
 
xml-id: C2.S1.E3.m2adec

Latest revision as of 17:59, 1 January 2020

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DLMF:3.11.E22
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    Statements

    Defining formula
    N p , q ⁢ ( z ) - f ⁢ ( z ) ⁢ D p , q ⁢ ( z ) = O ⁡ ( z p + q + 1 ) , subscript 𝑁 𝑝 𝑞 𝑧 𝑓 𝑧 subscript 𝐷 𝑝 𝑞 𝑧 Big-O superscript 𝑧 𝑝 𝑞 1 {\displaystyle{\displaystyle N_{p,q}(z)-f(z)D_{p,q}(z)=O\left(z^{p+q+1}\right)% ,}}
    0 references
    DLMF id
    DLMF:3.11.E22
    0 references
    constraint
    z → 0 → 𝑧 0 {\displaystyle{\displaystyle z\to 0}}
    0 references
    Symbols used
    order not exceeding
    Defining formula
    O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
    xml-id
    C2.S1.E3.m2adec
    0 references
     
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