DLMF:13.2.E19 (Q4309): Difference between revisions

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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.m2afdec

Revision as of 15:37, 2 January 2020

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DLMF:13.2.E19
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    Statements

    U ( a , 1 , z ) = - 1 Γ ( a ) ( ln z + ψ ( a ) + 2 γ ) + O ( z ln z ) , Kummer-confluent-hypergeometric-U 𝑎 1 𝑧 1 Euler-Gamma 𝑎 𝑧 digamma 𝑎 2 𝛾 Big-O 𝑧 𝑧 {\displaystyle{\displaystyle U\left(a,1,z\right)=-\frac{1}{\Gamma\left(a\right% )}\left(\ln z+\psi\left(a\right)+2\gamma\right)+O\left(z\ln z\right),}}
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    DLMF:13.2.E19
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    O ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
    C2.S1.E3.m2afdec
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