DLMF:10.47.E9 (Q3677): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11429 / rank
 
Normal rank
Property / Symbols used: Q11429 / qualifier
 
test:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11429 / qualifier
 
xml-id: C10.S1.XMD2.m1hdec
Property / Symbols used
 
Property / Symbols used: Q11426 / rank
 
Normal rank
Property / Symbols used: Q11426 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11426 / qualifier
 
xml-id: C10.S1.XMD6.m1hdec

Latest revision as of 14:08, 2 January 2020

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DLMF:10.47.E9
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    Statements

    test
    𝗄 n ⁡ ( z ) = 1 2 ⁢ π / z ⁢ K n + 1 2 ⁡ ( z ) = 1 2 ⁢ π / z ⁢ K - n - 1 2 ⁡ ( z ) . spherical-Bessel-K 𝑛 𝑧 1 2 𝜋 𝑧 modified-Bessel-second-kind 𝑛 1 2 𝑧 1 2 𝜋 𝑧 modified-Bessel-second-kind 𝑛 1 2 𝑧 {\displaystyle{\displaystyle\mathsf{k}_{n}\left(z\right)=\sqrt{\tfrac{1}{2}\pi% /z}K_{n+\frac{1}{2}}\left(z\right)=\sqrt{\tfrac{1}{2}\pi/z}K_{-n-\frac{1}{2}}% \left(z\right).}}
    0 references
    DLMF id
    DLMF:10.47.E9
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2afdec
    0 references
    modified Bessel function of the second kind
    test
    K ν ⁡ ( z ) modified-Bessel-second-kind 𝜈 𝑧 {\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S25.E3.m2adec
    0 references
    Q11429
    test
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C10.S1.XMD2.m1hdec
    0 references
    Q11426
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C10.S1.XMD6.m1hdec
    0 references
     
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