DLMF:18.2.E10 (Q5501)

From DRMF
Revision as of 15:14, 2 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:18.2.E10
No description defined

    Statements

    Defining formula
    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
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1idec
    0 references
    Q11731
    Defining formula
    p n ⁢ ( x ) subscript 𝑝 𝑛 𝑥 {\displaystyle{\displaystyle p_{n}(x)}}
    xml-id
    C18.S1.XMD9.m1gdec
    0 references
    Q11740
    Defining formula
    a n subscript 𝑎 𝑛 {\displaystyle{\displaystyle a_{n}}}
    xml-id
    C18.S2.XMD12.m1dec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q5501&oldid=55769"