DLMF:32.3.E5 (Q9217): Difference between revisions

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Property / constraint
 

x + 𝑥 {\displaystyle{\displaystyle x\to+\infty}}

x\to+\infty
Property / constraint: x + 𝑥 {\displaystyle{\displaystyle x\to+\infty}} / rank
 
Normal rank
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.m2abdec
Property / Symbols used
 
Property / Symbols used: Q11320 / rank
 
Normal rank
Property / Symbols used: Q11320 / qualifier
 
Defining formula:

U ( a , z ) parabolic-U 𝑎 𝑧 {\displaystyle{\displaystyle U\left(\NVar{a},\NVar{z}\right)}}

\paraU@{\NVar{a}}{\NVar{z}}
Property / Symbols used: Q11320 / qualifier
 
xml-id: C12.S2.SS1.p1.m1aadec
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.m1jdec
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.m1idec
Property / Symbols used
 
Property / Symbols used: Q12535 / rank
 
Normal rank
Property / Symbols used: Q12535 / qualifier
 
Defining formula:

ν 𝜈 {\displaystyle{\displaystyle\nu}}

\nu
Property / Symbols used: Q12535 / qualifier
 
xml-id: C32.S3.XMD1.m1cdec

Latest revision as of 13:51, 2 January 2020

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DLMF:32.3.E5
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    Statements

    w ( x ) 2 2 k 2 U 2 ( - ν - 1 2 , 2 x ) , asymptotically-equals 𝑤 𝑥 2 2 superscript 𝑘 2 parabolic-U 2 𝜈 1 2 2 𝑥 {\displaystyle{\displaystyle w(x)\sim 2\sqrt{2}k^{2}{U^{2}}\left(-\nu-\tfrac{1% }{2},\sqrt{2}x\right),}}
    0 references
    DLMF:32.3.E5
    0 references
    x + 𝑥 {\displaystyle{\displaystyle x\to+\infty}}
    0 references
    asymptotically-equals {\displaystyle{\displaystyle\sim}}
    C2.S1.E1.m2abdec
    0 references
    U ( a , z ) parabolic-U 𝑎 𝑧 {\displaystyle{\displaystyle U\left(\NVar{a},\NVar{z}\right)}}
    C12.S2.SS1.p1.m1aadec
    0 references
    x 𝑥 {\displaystyle{\displaystyle x}}
    C32.S1.XMD3.m1jdec
    0 references
    k 𝑘 {\displaystyle{\displaystyle k}}
    C32.S1.XMD5.m1idec
    0 references
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    C32.S3.XMD1.m1cdec
    0 references