DLMF:18.34.E4 (Q6032): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q11800 / rank
 
Normal rank
Property / Symbols used: Q11800 / qualifier
 
Defining formula:

C n subscript 𝐶 𝑛 {\displaystyle{\displaystyle C_{n}}}

C_{n}
Property / Symbols used: Q11800 / qualifier
 
xml-id: C18.S34.XMD3.m1dec

Latest revision as of 13:29, 2 January 2020

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DLMF:18.34.E4
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    Statements

    Defining formula
    y n + 1 ⁡ ( x ; a ) = ( A n ⁢ x + B n ) ⁢ y n ⁡ ( x ; a ) - C n ⁢ y n - 1 ⁡ ( x ; a ) , Bessel-polynomial-y 𝑛 1 𝑥 𝑎 subscript 𝐴 𝑛 𝑥 subscript 𝐵 𝑛 Bessel-polynomial-y 𝑛 𝑥 𝑎 subscript 𝐶 𝑛 Bessel-polynomial-y 𝑛 1 𝑥 𝑎 {\displaystyle{\displaystyle y_{n+1}\left(x;a\right)=(A_{n}x+B_{n})y_{n}\left(% x;a\right)-C_{n}y_{n-1}\left(x;a\right),}}
    0 references
    DLMF id
    DLMF:18.34.E4
    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.m2acdec
    0 references
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1cdec
    0 references
    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1cdec
    0 references
    Q11798
    Defining formula
    A n subscript 𝐴 𝑛 {\displaystyle{\displaystyle A_{n}}}
    xml-id
    C18.S34.XMD1.m1dec
    0 references
    Q11799
    Defining formula
    B n subscript 𝐵 𝑛 {\displaystyle{\displaystyle B_{n}}}
    xml-id
    C18.S34.XMD2.m1dec
    0 references
    Q11800
    Defining formula
    C n subscript 𝐶 𝑛 {\displaystyle{\displaystyle C_{n}}}
    xml-id
    C18.S34.XMD3.m1dec
    0 references
     
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