DLMF:18.34.E7 (Q6037)

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DLMF:18.34.E7
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    Statements

    Defining formula
    x 2 ⁢ y n ′′ ⁡ ( x ; a ) + ( a ⁢ x + 2 ) ⁢ y n ′ ⁡ ( x ; a ) - n ⁢ ( n + a - 1 ) ⁢ y n ⁡ ( x ; a ) = 0 , superscript 𝑥 2 diffop Bessel-polynomial-y 𝑛 2 𝑥 𝑎 𝑎 𝑥 2 diffop Bessel-polynomial-y 𝑛 1 𝑥 𝑎 𝑛 𝑛 𝑎 1 Bessel-polynomial-y 𝑛 𝑥 𝑎 0 {\displaystyle{\displaystyle x^{2}y_{n}''\left(x;a\right)+(ax+2)y_{n}'\left(x;% a\right)-n(n+a-1)y_{n}\left(x;a\right)=0,}}
    0 references
    DLMF id
    DLMF:18.34.E7
    0 references
    Symbols used
    Bessel polynomial
    Defining formula
    y n ⁡ ( x ; a ) Bessel-polynomial-y 𝑛 𝑥 𝑎 {\displaystyle{\displaystyle y_{\NVar{n}}\left(\NVar{x};\NVar{a}\right)}}
    xml-id
    C18.S34.E1.m2aedec
    0 references
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1fdec
    0 references
    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1ddec
    0 references
     
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