DLMF:18.22.E12 (Q5881): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11776 / rank
 
Normal rank
Property / Symbols used: Q11776 / qualifier
 
test:

C ⁢ ( x ) 𝐶 𝑥 {\displaystyle{\displaystyle C(x)}}

C(x)
Property / Symbols used: Q11776 / qualifier
 
xml-id: C18.S22.XMD10.m1dec
Property / Symbols used
 
Property / Symbols used: Q11777 / rank
 
Normal rank
Property / Symbols used: Q11777 / qualifier
 
test:

λ n subscript 𝜆 𝑛 {\displaystyle{\displaystyle\lambda_{n}}}

\lambda_{n}
Property / Symbols used: Q11777 / qualifier
 
xml-id: C18.S22.XMD11.m1dec
Property / Symbols used
 
Property / Symbols used: Q11778 / rank
 
Normal rank
Property / Symbols used: Q11778 / qualifier
 
test:

A ⁢ ( x ) 𝐴 𝑥 {\displaystyle{\displaystyle A(x)}}

A(x)
Property / Symbols used: Q11778 / qualifier
 
xml-id: C18.S22.XMD9.m1dec

Latest revision as of 00:35, 2 January 2020

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DLMF:18.22.E12
No description defined

    Statements

    test
    A ⁢ ( x ) ⁢ p n ⁢ ( x + 1 ) - ( A ⁢ ( x ) + C ⁢ ( x ) ) ⁢ p n ⁢ ( x ) + C ⁢ ( x ) ⁢ p n ⁢ ( x - 1 ) + λ n ⁢ p n ⁢ ( x ) = 0 . 𝐴 𝑥 subscript 𝑝 𝑛 𝑥 1 𝐴 𝑥 𝐶 𝑥 subscript 𝑝 𝑛 𝑥 𝐶 𝑥 subscript 𝑝 𝑛 𝑥 1 subscript 𝜆 𝑛 subscript 𝑝 𝑛 𝑥 0 {\displaystyle{\displaystyle A(x)p_{n}(x+1)-\left(A(x)+C(x)\right)p_{n}(x)+C(x% )p_{n}(x-1)+\lambda_{n}p_{n}(x)=0.}}
    0 references
    DLMF id
    DLMF:18.22.E12
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    Symbols used
    Q11726
    test
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1kdec
    0 references
    Q11731
    test
    p n ⁢ ( x ) subscript 𝑝 𝑛 𝑥 {\displaystyle{\displaystyle p_{n}(x)}}
    xml-id
    C18.S1.XMD9.m1gdec
    0 references
    Q11727
    test
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1jdec
    0 references
    Q11776
    test
    C ⁢ ( x ) 𝐶 𝑥 {\displaystyle{\displaystyle C(x)}}
    xml-id
    C18.S22.XMD10.m1dec
    0 references
    Q11777
    test
    λ n subscript 𝜆 𝑛 {\displaystyle{\displaystyle\lambda_{n}}}
    xml-id
    C18.S22.XMD11.m1dec
    0 references
    Q11778
    test
    A ⁢ ( x ) 𝐴 𝑥 {\displaystyle{\displaystyle A(x)}}
    xml-id
    C18.S22.XMD9.m1dec
    0 references
     
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