DLMF:10.18.E13 (Q3206)

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DLMF:10.18.E13
No description defined

    Statements

    test
    x 2 ⁢ M ν ′′ ⁡ ( x ) + x ⁢ M ν ′ ⁡ ( x ) + ( x 2 - ν 2 ) ⁢ M ν ⁡ ( x ) = 4 π 2 ⁢ M ν 3 ⁢ ( x ) , superscript 𝑥 2 diffop modulus-Bessel-M 𝜈 2 𝑥 𝑥 diffop modulus-Bessel-M 𝜈 1 𝑥 superscript 𝑥 2 superscript 𝜈 2 modulus-Bessel-M 𝜈 𝑥 4 superscript 𝜋 2 modulus-Bessel-M 𝜈 3 𝑥 {\displaystyle{\displaystyle x^{2}M_{\nu}''\left(x\right)+xM_{\nu}'\left(x% \right)+(x^{2}-\nu^{2})M_{\nu}\left(x\right)=\frac{4}{\pi^{2}{{M_{\nu}^{3}}(x)% }},}}
    0 references
    DLMF id
    DLMF:10.18.E13
    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.m2aedec
    0 references
    modulus of Bessel functions
    test
    M ν ⁡ ( x ) modulus-Bessel-M 𝜈 𝑥 {\displaystyle{\displaystyle M_{\NVar{\nu}}\left(\NVar{x}\right)}}
    xml-id
    C10.S18.E1.m2ahdec
    0 references
    Q11435
    test
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C10.S1.XMD4.m1ldec
    0 references
    Q11427
    test
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C10.S1.XMD7.m1ldec
    0 references
     
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