DLMF:10.30.E4 (Q3516)

From testwiki
Revision as of 12:38, 2 January 2020 by imported>Admin (Admin moved page Main Page to Verifying DLMF with Maple and Mathematica)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:10.30.E4
No description defined

    Statements

    test
    I ν ⁡ ( z ) ∼ e z / 2 ⁢ π ⁢ z , asymptotically-equals modified-Bessel-first-kind 𝜈 𝑧 superscript 𝑒 𝑧 2 𝜋 𝑧 {\displaystyle{\displaystyle I_{\nu}\left(z\right)\sim e^{z}/\sqrt{2\pi z},}}
    0 references
    DLMF id
    DLMF:10.30.E4
    0 references
    constraint
    | ph ⁡ z | ≤ 1 2 ⁢ π - δ phase 𝑧 1 2 𝜋 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{1}{2}\pi-\delta}}
    0 references
    Symbols used
    asymptotic equality
    test
    ∼ asymptotically-equals {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.E1.m2acdec
    0 references
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
    0 references
    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2adec
    0 references
    modified Bessel function of the first kind
    test
    I ν ⁡ ( z ) modified-Bessel-first-kind 𝜈 𝑧 {\displaystyle{\displaystyle I_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S25.E2.m2aadec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q3516&oldid=18633"