DLMF:32.3.E1 (Q9213): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(2 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.m2adec
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.m1ddec
Property / Symbols used
 
Property / Symbols used: Q12534 / rank
 
Normal rank
Property / Symbols used: Q12534 / qualifier
 
Defining formula:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q12534 / qualifier
 
xml-id: C32.S1.XMD5.m1ddec

Latest revision as of 13:51, 2 January 2020

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DLMF:32.3.E1
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    Statements

    w k ( x ) k Ai ( x ) , asymptotically-equals subscript 𝑤 𝑘 𝑥 𝑘 Airy-Ai 𝑥 {\displaystyle{\displaystyle w_{k}(x)\sim k\mathrm{Ai}\left(x\right),}}
    0 references
    DLMF:32.3.E1
    0 references
    x + 𝑥 {\displaystyle{\displaystyle x\to+\infty}}
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    Ai ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
    C9.S2.SS1.m1adec
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    asymptotically-equals {\displaystyle{\displaystyle\sim}}
    C2.S1.E1.m2adec
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    x 𝑥 {\displaystyle{\displaystyle x}}
    C32.S1.XMD3.m1ddec
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    k 𝑘 {\displaystyle{\displaystyle k}}
    C32.S1.XMD5.m1ddec
    0 references