DLMF:8.11.E10 (Q2583): 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.m2aadec

Revision as of 13:54, 2 January 2020

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DLMF:8.11.E10
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    Statements

    P ( a + 1 , x ) = 1 2 erfc ( - y ) - 1 3 2 π a ( 1 + y 2 ) e - y 2 + O ( a - 1 ) , incomplete-gamma-P 𝑎 1 𝑥 1 2 complementary-error-function 𝑦 1 3 2 𝜋 𝑎 1 superscript 𝑦 2 superscript 𝑒 superscript 𝑦 2 Big-O superscript 𝑎 1 {\displaystyle{\displaystyle P\left(a+1,x\right)=\tfrac{1}{2}\operatorname{% erfc}\left(-y\right)-\frac{1}{3}\sqrt{\frac{2}{\pi a}}(1+y^{2})e^{-y^{2}}+O% \left(a^{-1}\right),}}
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    DLMF:8.11.E10
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    O ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
    C2.S1.E3.m2aadec
    0 references