DLMF:10.7.E5 (Q3058)

From DRMF
Revision as of 15:08, 2 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:10.7.E5
No description defined

    Statements

    Defining formula
    Y - ν ⁡ ( z ) ∼ - ( 1 / π ) ⁢ cos ⁡ ( ν ⁢ π ) ⁢ Γ ⁡ ( ν ) ⁢ ( 1 2 ⁢ z ) - ν , asymptotically-equals Bessel-Y-Weber 𝜈 𝑧 1 𝜋 𝜈 𝜋 Euler-Gamma 𝜈 superscript 1 2 𝑧 𝜈 {\displaystyle{\displaystyle Y_{-\nu}\left(z\right)\sim-(1/\pi)\cos\left(\nu% \pi\right)\Gamma\left(\nu\right)(\tfrac{1}{2}z)^{-\nu},}}
    0 references
    DLMF id
    DLMF:10.7.E5
    0 references
    constraint
    ℜ ⁡ ν > 0 𝜈 0 {\displaystyle{\displaystyle\Re\nu>0}}
    0 references
    ℜ ⁡ ν > 0 𝜈 0 {\displaystyle{\displaystyle\Re\nu>0}}
    0 references
    ν ≠ 1 2 , 3 2 , 5 2 , … 𝜈 1 2 3 2 5 2 … {\displaystyle{\displaystyle\nu\neq\tfrac{1}{2},\tfrac{3}{2},\tfrac{5}{2},% \ldots}}
    0 references
    Symbols used
    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.m2abdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q3058&oldid=54734"