DLMF:9.8.E10 (Q2842): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older editNewer edit →
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Bessel function of the second kind / rank
 
Normal rank
Property / Symbols used: Bessel function of the second kind / qualifier
 
Defining formula:

Y ν ⁡ ( z ) Bessel-Y-Weber 𝜈 𝑧 {\displaystyle{\displaystyle Y_{\NVar{\nu}}\left(\NVar{z}\right)}}

\BesselY{\NVar{\nu}}@{\NVar{z}}
Property / Symbols used: Bessel function of the second kind / qualifier
 
xml-id: C10.S2.E3.m2aadec

Revision as of 14:38, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:9.8.E10
No description defined

    Statements

    Defining formula
    | x | - 1 / 2 ⁢ N 2 ⁡ ( x ) = 1 2 ⁢ ξ ⁢ ( J 2 / 3 2 ⁡ ( ξ ) + Y 2 / 3 2 ⁡ ( ξ ) ) , superscript 𝑥 1 2 modulus-Airy-N 2 𝑥 1 2 𝜉 Bessel-J 2 3 2 𝜉 Bessel-Y-Weber 2 3 2 𝜉 {\displaystyle{\displaystyle|x|^{-1/2}{N^{2}}\left(x\right)=\tfrac{1}{2}\xi% \left({J_{2/3}^{2}}\left(\xi\right)+{Y_{2/3}^{2}}\left(\xi\right)\right),}}
    0 references
    DLMF id
    DLMF:9.8.E10
    0 references
    Symbols used
    Bessel function of the first kind
    Defining formula
    J ν ⁡ ( z ) Bessel-J 𝜈 𝑧 {\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S2.E2.m2aadec
    0 references
    Bessel function of the second kind
    Defining formula
    Y ν ⁡ ( z ) Bessel-Y-Weber 𝜈 𝑧 {\displaystyle{\displaystyle Y_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S2.E3.m2aadec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q2842&oldid=49351"