DLMF:11.10.E37 (Q4059): Difference between revisions

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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.m2aabdec

Revision as of 14:00, 2 January 2020

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DLMF:11.10.E37
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    Statements

    test
    z ⁢ 𝐄 ν ′ ⁡ ( z ) ± ν ⁢ 𝐄 ν ⁡ ( z ) = ± z ⁢ 𝐄 ν ∓ 1 ⁡ ( z ) ± ( 1 - cos ⁡ ( π ⁢ ν ) ) π . plus-or-minus 𝑧 diffop Weber-E 𝜈 1 𝑧 𝜈 Weber-E 𝜈 𝑧 plus-or-minus plus-or-minus 𝑧 Weber-E minus-or-plus 𝜈 1 𝑧 1 𝜋 𝜈 𝜋 {\displaystyle{\displaystyle z\mathbf{E}_{\nu}'\left(z\right)\pm\nu\mathbf{E}_% {\nu}\left(z\right)=\pm z\mathbf{E}_{\nu\mp 1}\left(z\right)\pm\frac{(1-\cos% \left(\pi\nu\right))}{\pi}.}}
    0 references
    DLMF id
    DLMF:11.10.E37
    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.m2audec
    0 references
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aabdec
    0 references
     
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