DLMF:10.18.E10 (Q3203): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: modulus of derivatives of Bessel functions / rank
 
Normal rank
Property / Symbols used: modulus of derivatives of Bessel functions / qualifier
 
test:

N ν ⁡ ( x ) modulus-Bessel-N 𝜈 𝑥 {\displaystyle{\displaystyle N_{\NVar{\nu}}\left(\NVar{x}\right)}}

\HankelmodderivN{\NVar{\nu}}@{\NVar{x}}
Property / Symbols used: modulus of derivatives of Bessel functions / qualifier
 
xml-id: C10.S18.E2.m2aedec

Revision as of 14:34, 2 January 2020

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DLMF:10.18.E10
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    Statements

    test
    ( x 2 - ν 2 ) ⁢ M ν ⁡ ( x ) ⁢ M ν ′ ⁡ ( x ) + x 2 ⁢ N ν ⁡ ( x ) ⁢ N ν ′ ⁡ ( x ) + x ⁢ N ν 2 ⁡ ( x ) = 0 . superscript 𝑥 2 superscript 𝜈 2 modulus-Bessel-M 𝜈 𝑥 diffop modulus-Bessel-M 𝜈 1 𝑥 superscript 𝑥 2 modulus-Bessel-N 𝜈 𝑥 diffop modulus-Bessel-N 𝜈 1 𝑥 𝑥 modulus-Bessel-N 𝜈 2 𝑥 0 {\displaystyle{\displaystyle(x^{2}-\nu^{2})M_{\nu}\left(x\right)M_{\nu}'\left(% x\right)+x^{2}N_{\nu}\left(x\right)N_{\nu}'\left(x\right)+x{N_{\nu}^{2}}\left(% x\right)=0.}}
    0 references
    DLMF id
    DLMF:10.18.E10
    0 references
    Symbols used
    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.m2aedec
    0 references
    modulus of derivatives of Bessel functions
    test
    N ν ⁡ ( x ) modulus-Bessel-N 𝜈 𝑥 {\displaystyle{\displaystyle N_{\NVar{\nu}}\left(\NVar{x}\right)}}
    xml-id
    C10.S18.E2.m2aedec
    0 references
     
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