DLMF:10.21.E48 (Q3355)

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DLMF:10.21.E48
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    Statements

    Defining formula
    J ν ⁡ ( x ) ⁢ Y ν ⁡ ( λ ⁢ x ) - Y ν ⁡ ( x ) ⁢ J ν ⁡ ( λ ⁢ x ) Bessel-J 𝜈 𝑥 Bessel-Y-Weber 𝜈 𝜆 𝑥 Bessel-Y-Weber 𝜈 𝑥 Bessel-J 𝜈 𝜆 𝑥 {\displaystyle{\displaystyle J_{\nu}\left(x\right)Y_{\nu}\left(\lambda x\right% )-Y_{\nu}\left(x\right)J_{\nu}\left(\lambda x\right)}}
    0 references
    DLMF id
    DLMF:10.21.E48
    0 references
    Symbols used
    Bessel function of the first kind
    Defining formula
    J ν ⁡ ( z ) Bessel-J 𝜈 𝑧 {\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S2.E2.m2ahdec
    0 references
    Bessel function of the second kind
    Defining formula
    Y ν ⁡ ( z ) Bessel-Y-Weber 𝜈 𝑧 {\displaystyle{\displaystyle Y_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S2.E3.m2agdec
    0 references
    Q11435
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C10.S1.XMD4.m1dec
    0 references
    Q11427
    Defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C10.S1.XMD7.m1akdec
    0 references
     
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