DLMF:3.6.E12 (Q1317): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: asymptotic equality / rank
 
Normal rank
Property / Symbols used: asymptotic equality / qualifier
 
test:

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

\asympeq
Property / Symbols used: asymptotic equality / qualifier
 
xml-id: C2.S1.E1.m2adec

Revision as of 16:55, 1 January 2020

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DLMF:3.6.E12
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    Statements

    test
    J n ⁡ ( 1 ) ∼ 1 ( 2 ⁢ π ⁢ n ) 1 / 2 ⁢ ( e 2 ⁢ n ) n , asymptotically-equals Bessel-J 𝑛 1 1 superscript 2 𝑛 1 2 superscript 𝑒 2 𝑛 𝑛 {\displaystyle{\displaystyle J_{n}\left(1\right)\sim\frac{1}{(2\pi n)^{1/2}}% \left(\frac{e}{2n}\right)^{n},}}
    0 references
    DLMF id
    DLMF:3.6.E12
    0 references
    Symbols used
    Bessel function of the first kind
    test
    J ν ⁡ ( z ) Bessel-J 𝜈 𝑧 {\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S2.E2.m2adec
    0 references
    asymptotic equality
    test
    ∼ asymptotically-equals {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.E1.m2adec
    0 references
     
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