DLMF:11.10.E6 (Q4023): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: sine function / rank
 
Normal rank
Property / Symbols used: sine function / qualifier
 
Defining formula:

sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}

\sin@@{\NVar{z}}
Property / Symbols used: sine function / qualifier
 
xml-id: C4.S14.E1.m2acdec

Revision as of 14:54, 2 January 2020

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DLMF:11.10.E6
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    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
     
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