DLMF:32.11.E32 (Q9467): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(3 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: asymptotic equality / rank
 
Normal rank
Property / Symbols used: asymptotic equality / qualifier
 
Defining formula:

asymptotically-equals {\displaystyle{\displaystyle\sim}}

\asympeq
Property / Symbols used: asymptotic equality / qualifier
 
xml-id: C2.S1.E1.m2afdec
Property / Symbols used
 
Property / Symbols used: exponential function / rank
 
Normal rank
Property / Symbols used: exponential function / qualifier
 
Defining formula:

exp z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}

\exp@@{\NVar{z}}
Property / Symbols used: exponential function / qualifier
 
xml-id: C4.S2.E19.m2aadec
Property / Symbols used
 
Property / Symbols used: Q12571 / rank
 
Normal rank
Property / Symbols used: Q12571 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q12571 / qualifier
 
xml-id: C32.S1.XMD2.m1cdec
Property / Symbols used
 
Property / Symbols used: Q12533 / rank
 
Normal rank
Property / Symbols used: Q12533 / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q12533 / qualifier
 
xml-id: C32.S1.XMD3.m1sdec

Latest revision as of 14:17, 2 January 2020

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DLMF:32.11.E32
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    Statements

    w h ( x ) h 2 n x 2 n exp ( - x 2 ) , asymptotically-equals subscript 𝑤 𝑥 superscript 2 𝑛 superscript 𝑥 2 𝑛 superscript 𝑥 2 {\displaystyle{\displaystyle w_{h}(x)\sim h2^{n}x^{2n}\exp\left(-x^{2}\right),}}
    0 references
    DLMF:32.11.E32
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    x - 𝑥 {\displaystyle{\displaystyle x\to-\infty}}
    0 references
    asymptotically-equals {\displaystyle{\displaystyle\sim}}
    C2.S1.E1.m2afdec
    0 references
    exp z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}
    C4.S2.E19.m2aadec
    0 references
    n 𝑛 {\displaystyle{\displaystyle n}}
    C32.S1.XMD2.m1cdec
    0 references
    x 𝑥 {\displaystyle{\displaystyle x}}
    C32.S1.XMD3.m1sdec
    0 references