DLMF:13.2.E20 (Q4310): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: order not exceeding / rank
 
Normal rank
Property / Symbols used: order not exceeding / qualifier
 
test:

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.m2agdec

Revision as of 14:37, 2 January 2020

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DLMF:13.2.E20
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    Statements

    test
    U ⁡ ( a , b , z ) = Γ ⁡ ( 1 - b ) Γ ⁡ ( a - b + 1 ) + O ⁡ ( z 1 - ℜ ⁡ b ) , Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 Euler-Gamma 1 𝑏 Euler-Gamma 𝑎 𝑏 1 Big-O superscript 𝑧 1 𝑏 {\displaystyle{\displaystyle U\left(a,b,z\right)=\frac{\Gamma\left(1-b\right)}% {\Gamma\left(a-b+1\right)}+O\left(z^{1-\Re b}\right),}}
    0 references
    DLMF id
    DLMF:13.2.E20
    0 references
    constraint
    0 < ℜ ⁡ b < 1 0 𝑏 1 {\displaystyle{\displaystyle 0<\Re b<1}}
    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.m2agdec
    0 references
     
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