DLMF:10.34.E2 (Q3543): 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
 
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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.m2aadec

Revision as of 12:46, 2 January 2020

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DLMF:10.34.E2
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    test
    K ν ⁡ ( z ⁢ e m ⁢ π ⁢ i ) = e - m ⁢ ν ⁢ π ⁢ i ⁢ K ν ⁡ ( z ) - π ⁢ i ⁢ sin ⁡ ( m ⁢ ν ⁢ π ) ⁢ csc ⁡ ( ν ⁢ π ) ⁢ I ν ⁡ ( z ) . modified-Bessel-second-kind 𝜈 𝑧 superscript 𝑒 𝑚 𝜋 𝑖 superscript 𝑒 𝑚 𝜈 𝜋 𝑖 modified-Bessel-second-kind 𝜈 𝑧 𝜋 𝑖 𝑚 𝜈 𝜋 𝜈 𝜋 modified-Bessel-first-kind 𝜈 𝑧 {\displaystyle{\displaystyle K_{\nu}\left(ze^{m\pi i}\right)=e^{-m\nu\pi i}K_{% \nu}\left(z\right)-\pi i\sin\left(m\nu\pi\right)\csc\left(\nu\pi\right)I_{\nu}% \left(z\right).}}
    0 references
    DLMF id
    DLMF:10.34.E2
    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.m2aadec
    0 references
     
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