DLMF:10.41.E1 (Q3593): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
 
Normal rank
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
Defining formula:

π {\displaystyle{\displaystyle\pi}}

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2adec

Revision as of 13:55, 2 January 2020

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DLMF:10.41.E1
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    Statements

    Defining formula
    I ν ⁡ ( z ) ∼ 1 2 ⁢ π ⁢ ν ⁢ ( e ⁢ z 2 ⁢ ν ) ν , asymptotically-equals modified-Bessel-first-kind 𝜈 𝑧 1 2 𝜋 𝜈 superscript 𝑒 𝑧 2 𝜈 𝜈 {\displaystyle{\displaystyle I_{\nu}\left(z\right)\sim\frac{1}{\sqrt{2\pi\nu}}% \left(\frac{ez}{2\nu}\right)^{\nu},}}
    0 references
    DLMF id
    DLMF:10.41.E1
    0 references
    Symbols used
    asymptotic equality
    Defining formula
    ∼ asymptotically-equals {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.E1.m2adec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
    0 references
     
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