DLMF:18.2.E1 (Q5490)

From DRMF
Revision as of 15:12, 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.E1
No description defined

    Statements

    Defining formula
    ∫ a b p n ⁢ ( x ) ⁢ p m ⁢ ( x ) ⁢ w ⁢ ( x ) ⁢ d x = 0 , superscript subscript 𝑎 𝑏 subscript 𝑝 𝑛 𝑥 subscript 𝑝 𝑚 𝑥 𝑤 𝑥 𝑥 0 {\displaystyle{\displaystyle\int_{a}^{b}p_{n}(x)p_{m}(x)w(x)\mathrm{d}x=0,}}
    0 references
    DLMF id
    DLMF:18.2.E1
    0 references
    constraint
    n ≠ m 𝑛 𝑚 {\displaystyle{\displaystyle n\neq m}}
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1adec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3adec
    0 references
    Q11729
    Defining formula
    w ⁢ ( x ) 𝑤 𝑥 {\displaystyle{\displaystyle w(x)}}
    xml-id
    C18.S1.XMD10.m1dec
    0 references
    Q11730
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C18.S1.XMD5.m1dec
    0 references
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1dec
    0 references
    Q11731
    Defining formula
    p n ⁢ ( x ) subscript 𝑝 𝑛 𝑥 {\displaystyle{\displaystyle p_{n}(x)}}
    xml-id
    C18.S1.XMD9.m1dec
    0 references
    Q11732
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C18.S2.XMD1.m1dec
    0 references
    Q11733
    Defining formula
    b 𝑏 {\displaystyle{\displaystyle b}}
    xml-id
    C18.S2.XMD2.m1dec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q5490&oldid=55461"