DLMF:11.10.E9 (Q4026): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Weber function / rank
 
Normal rank
Property / Symbols used: Weber function / qualifier
 
test:

𝐄 ν ⁡ ( z ) Weber-E 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{E}_{\NVar{\nu}}\left(\NVar{z}\right)}}

\WeberE{\NVar{\nu}}@{\NVar{z}}
Property / Symbols used: Weber function / qualifier
 
xml-id: C11.S10.E2.m2acdec
Property / Symbols used
 
Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
 
Normal rank
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
test:

π {\displaystyle{\displaystyle\pi}}

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2agdec
Property / Symbols used
 
Property / Symbols used: cosine function / rank
 
Normal rank
Property / Symbols used: cosine function / qualifier
 
test:

cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}

\cos@@{\NVar{z}}
Property / Symbols used: cosine function / qualifier
 
xml-id: C4.S14.E2.m2addec
Property / Symbols used
 
Property / Symbols used: sine function / rank
 
Normal rank
Property / Symbols used: sine function / qualifier
 
test:

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

\sin@@{\NVar{z}}
Property / Symbols used: sine function / qualifier
 
xml-id: C4.S14.E1.m2aedec
Property / Symbols used
 
Property / Symbols used: Q11491 / rank
 
Normal rank
Property / Symbols used: Q11491 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11491 / qualifier
 
xml-id: C11.S1.XMD2.m1hdec
Property / Symbols used
 
Property / Symbols used: Q11492 / rank
 
Normal rank
Property / Symbols used: Q11492 / qualifier
 
test:

ν 𝜈 {\displaystyle{\displaystyle\nu}}

\nu
Property / Symbols used: Q11492 / qualifier
 
xml-id: C11.S1.XMD3.m1hdec

Latest revision as of 13:55, 2 January 2020

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English
DLMF:11.10.E9
No description defined

    Statements

    test
    𝐄 ν ⁡ ( z ) = sin ⁡ ( 1 2 ⁢ π ⁢ ν ) ⁢ S 1 ⁢ ( ν , z ) - cos ⁡ ( 1 2 ⁢ π ⁢ ν ) ⁢ S 2 ⁢ ( ν , z ) , Weber-E 𝜈 𝑧 1 2 𝜋 𝜈 subscript 𝑆 1 𝜈 𝑧 1 2 𝜋 𝜈 subscript 𝑆 2 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{E}_{\nu}\left(z\right)=\sin\left(\tfrac{1}% {2}\pi\nu\right)\,S_{1}(\nu,z)-\cos\left(\tfrac{1}{2}\pi\nu\right)\,S_{2}(\nu,% z),}}
    0 references
    DLMF id
    DLMF:11.10.E9
    0 references
    Symbols used
    Weber function
    test
    𝐄 ν ⁡ ( z ) Weber-E 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{E}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C11.S10.E2.m2acdec
    0 references
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2agdec
    0 references
    cosine function
    test
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2addec
    0 references
    sine function
    test
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2aedec
    0 references
    Q11491
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C11.S1.XMD2.m1hdec
    0 references
    Q11492
    test
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C11.S1.XMD3.m1hdec
    0 references
     
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