DLMF:18.2.E8 (Q5497): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11737 / rank
 
Normal rank
Property / Symbols used: Q11737 / qualifier
 
test:

B n subscript 𝐵 𝑛 {\displaystyle{\displaystyle B_{n}}}

B_{n}
Property / Symbols used: Q11737 / qualifier
 
xml-id: C18.S2.XMD10.m1dec
Property / Symbols used
 
Property / Symbols used: Q11738 / rank
 
Normal rank
Property / Symbols used: Q11738 / qualifier
 
test:

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

C_{n}
Property / Symbols used: Q11738 / qualifier
 
xml-id: C18.S2.XMD11.m1dec
Property / Symbols used
 
Property / Symbols used: Q11727 / rank
 
Normal rank
Property / Symbols used: Q11727 / qualifier
 
test:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11727 / qualifier
 
xml-id: C18.S2.XMD3.m1gdec
Property / Symbols used
 
Property / Symbols used: Q11739 / rank
 
Normal rank
Property / Symbols used: Q11739 / qualifier
 
test:

A n subscript 𝐴 𝑛 {\displaystyle{\displaystyle A_{n}}}

A_{n}
Property / Symbols used: Q11739 / qualifier
 
xml-id: C18.S2.XMD9.m1dec

Latest revision as of 14:14, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:18.2.E8
No description defined

    Statements

    test
    p n + 1 ⁢ ( x ) = ( A n ⁢ x + B n ) ⁢ p n ⁢ ( x ) - C n ⁢ p n - 1 ⁢ ( x ) , subscript 𝑝 𝑛 1 𝑥 subscript 𝐴 𝑛 𝑥 subscript 𝐵 𝑛 subscript 𝑝 𝑛 𝑥 subscript 𝐶 𝑛 subscript 𝑝 𝑛 1 𝑥 {\displaystyle{\displaystyle p_{n+1}(x)=(A_{n}x+B_{n})p_{n}(x)-C_{n}p_{n-1}(x)% ,}}
    0 references
    DLMF id
    DLMF:18.2.E8
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    constraint
    n ≥ 0 𝑛 0 {\displaystyle{\displaystyle n\geq 0}}
    0 references
    Symbols used
    Q11726
    test
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1gdec
    0 references
    Q11731
    test
    p n ⁢ ( x ) subscript 𝑝 𝑛 𝑥 {\displaystyle{\displaystyle p_{n}(x)}}
    xml-id
    C18.S1.XMD9.m1fdec
    0 references
    Q11737
    test
    B n subscript 𝐵 𝑛 {\displaystyle{\displaystyle B_{n}}}
    xml-id
    C18.S2.XMD10.m1dec
    0 references
    Q11738
    test
    C n subscript 𝐶 𝑛 {\displaystyle{\displaystyle C_{n}}}
    xml-id
    C18.S2.XMD11.m1dec
    0 references
    Q11727
    test
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1gdec
    0 references
    Q11739
    test
    A n subscript 𝐴 𝑛 {\displaystyle{\displaystyle A_{n}}}
    xml-id
    C18.S2.XMD9.m1dec
    0 references
     
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