DLMF:11.10.E6 (Q4023)

From DRMF
Revision as of 14:54, 2 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:11.10.E6
No description defined

    Statements

    Defining formula
    f ⁢ ( ν , z ) = ( z - ν ) π ⁢ z 2 ⁢ sin ⁡ ( π ⁢ ν ) , 𝑓 𝜈 𝑧 𝑧 𝜈 𝜋 superscript 𝑧 2 𝜋 𝜈 {\displaystyle{\displaystyle f(\nu,z)=\frac{(z-\nu)}{\pi z^{2}}\sin\left(\pi% \nu\right),}}
    0 references
    DLMF id
    DLMF:11.10.E6
    0 references
    constraint
    w = 𝐉 ν ⁡ ( z ) 𝑤 Anger-J 𝜈 𝑧 {\displaystyle{\displaystyle w=\mathbf{J}_{\nu}\left(z\right)}}
    0 references
    Symbols used
    Anger function
    Defining formula
    𝐉 ν ⁡ ( z ) Anger-J 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{J}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C11.S10.E1.m2abdec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2addec
    0 references
    sine function
    Defining formula
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2acdec
    0 references
    Q11491
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C11.S1.XMD2.m1edec
    0 references
    Q11492
    Defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C11.S1.XMD3.m1edec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q4023&oldid=52166"