DLMF:2.7.E26 (Q920): Difference between revisions

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Property / constraint
 

x a 1 + 𝑥 limit-from subscript 𝑎 1 {\displaystyle{\displaystyle x\to a_{1}+}}

x\to a_{1}+
Property / constraint: x a 1 + 𝑥 limit-from subscript 𝑎 1 {\displaystyle{\displaystyle x\to a_{1}+}} / 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.m2adec
Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
Defining formula:

d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1addec
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.m2acdec
Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
Defining formula:

{\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3addec
Property / Symbols used
 
Property / Symbols used: Q11060 / rank
 
Normal rank
Property / Symbols used: Q11060 / qualifier
 
Defining formula:

( a 1 , a 2 ) subscript 𝑎 1 subscript 𝑎 2 {\displaystyle{\displaystyle(a_{1},a_{2})}}

(a_{1},a_{2})
Property / Symbols used: Q11060 / qualifier
 
xml-id: C2.S7.XMD19.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11050 / rank
 
Normal rank
Property / Symbols used: Q11050 / qualifier
 
Defining formula:

w j ( z ) subscript 𝑤 𝑗 𝑧 {\displaystyle{\displaystyle w_{j}(z)}}

w_{j}(z)
Property / Symbols used: Q11050 / qualifier
 
xml-id: C2.S7.XMD8.m1fdec

Latest revision as of 17:23, 1 January 2020

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DLMF:2.7.E26
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    Statements

    w 1 ( x ) f - 1 / 4 ( x ) exp ( f 1 / 2 ( x ) d x ) , asymptotically-equals subscript 𝑤 1 𝑥 superscript 𝑓 1 4 𝑥 superscript 𝑓 1 2 𝑥 𝑥 {\displaystyle{\displaystyle w_{1}(x)\sim f^{-1/4}(x)\exp\left(\int f^{1/2}(x)% \mathrm{d}x\right),}}
    0 references
    DLMF:2.7.E26
    0 references
    x a 1 + 𝑥 limit-from subscript 𝑎 1 {\displaystyle{\displaystyle x\to a_{1}+}}
    0 references
    asymptotically-equals {\displaystyle{\displaystyle\sim}}
    C2.S1.E1.m2adec
    0 references
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1addec
    0 references
    exp z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}
    C4.S2.E19.m2acdec
    0 references
    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3addec
    0 references
    ( a 1 , a 2 ) subscript 𝑎 1 subscript 𝑎 2 {\displaystyle{\displaystyle(a_{1},a_{2})}}
    C2.S7.XMD19.m1bdec
    0 references
    w j ( z ) subscript 𝑤 𝑗 𝑧 {\displaystyle{\displaystyle w_{j}(z)}}
    C2.S7.XMD8.m1fdec
    0 references