DLMF:18.2.E10 (Q5501): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11741 / rank
 
Normal rank
Property / Symbols used: Q11741 / qualifier
 
test:

b n subscript 𝑏 𝑛 {\displaystyle{\displaystyle b_{n}}}

b_{n}
Property / Symbols used: Q11741 / qualifier
 
xml-id: C18.S2.XMD13.m1dec
Property / Symbols used
 
Property / Symbols used: Q11742 / rank
 
Normal rank
Property / Symbols used: Q11742 / qualifier
 
test:

c n subscript 𝑐 𝑛 {\displaystyle{\displaystyle c_{n}}}

c_{n}
Property / Symbols used: Q11742 / qualifier
 
xml-id: C18.S2.XMD14.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.m1hdec

Latest revision as of 14:14, 2 January 2020

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English
DLMF:18.2.E10
No description defined

    Statements

    test
    x ⁢ p n ⁢ ( x ) = a n ⁢ p n + 1 ⁢ ( x ) + b n ⁢ p n ⁢ ( x ) + c n ⁢ p n - 1 ⁢ ( x ) , 𝑥 subscript 𝑝 𝑛 𝑥 subscript 𝑎 𝑛 subscript 𝑝 𝑛 1 𝑥 subscript 𝑏 𝑛 subscript 𝑝 𝑛 𝑥 subscript 𝑐 𝑛 subscript 𝑝 𝑛 1 𝑥 {\displaystyle{\displaystyle xp_{n}(x)=a_{n}p_{n+1}(x)+b_{n}p_{n}(x)+c_{n}p_{n% -1}(x),}}
    0 references
    DLMF id
    DLMF:18.2.E10
    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.m1idec
    0 references
    Q11731
    test
    p n ⁢ ( x ) subscript 𝑝 𝑛 𝑥 {\displaystyle{\displaystyle p_{n}(x)}}
    xml-id
    C18.S1.XMD9.m1gdec
    0 references
    Q11740
    test
    a n subscript 𝑎 𝑛 {\displaystyle{\displaystyle a_{n}}}
    xml-id
    C18.S2.XMD12.m1dec
    0 references
    Q11741
    test
    b n subscript 𝑏 𝑛 {\displaystyle{\displaystyle b_{n}}}
    xml-id
    C18.S2.XMD13.m1dec
    0 references
    Q11742
    test
    c n subscript 𝑐 𝑛 {\displaystyle{\displaystyle c_{n}}}
    xml-id
    C18.S2.XMD14.m1dec
    0 references
    Q11727
    test
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1hdec
    0 references
     
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