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DLMF:10.21.E5 - MaRDI portal

DLMF:10.21.E5 (Q3979)

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DLMF:10.21.E5
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    Statements

    DLMF defining formula
    𝒞 ν ′ ⁡ ( ρ ν ) = 𝒞 ν - 1 ⁡ ( ρ ν ) = - 𝒞 ν + 1 ⁡ ( ρ ν ) . diffop cylinder-function 𝜈 1 subscript 𝜌 𝜈 cylinder-function 𝜈 1 subscript 𝜌 𝜈 cylinder-function 𝜈 1 subscript 𝜌 𝜈 {\displaystyle{\displaystyle\mathscr{C}_{\nu}'\left(\rho_{\nu}\right)=\mathscr% {C}_{\nu-1}\left(\rho_{\nu}\right)=-\mathscr{C}_{\nu+1}\left(\rho_{\nu}\right)% .}}
    0 references
    Symbols used
    cylinder function
    DLMF defining formula
    𝒞 ν ⁡ ( z ) cylinder-function 𝜈 𝑧 {\displaystyle{\displaystyle\mathscr{C}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S2.Px5.p1.m3aadec
    0 references
    complex parameter
    DLMF defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C10.S1.XMD7.m1cdec
    0 references
    zero of cylinder function
    DLMF defining formula
    ρ ν ⁢ ( t ) subscript 𝜌 𝜈 𝑡 {\displaystyle{\displaystyle\rho_{\nu}(t)}}
    xml-id
    C10.S21.XMD1.m1dec
    0 references

    Identifiers

     
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