DLMF:18.9.E9 (Q5605)

From DRMF
Revision as of 15:23, 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:18.9.E9
No description defined

    Statements

    Defining formula
    T n ⁡ ( x ) = 1 2 ⁢ ( U n ⁡ ( x ) - U n - 2 ⁡ ( x ) ) , Chebyshev-polynomial-first-kind-T 𝑛 𝑥 1 2 Chebyshev-polynomial-second-kind-U 𝑛 𝑥 Chebyshev-polynomial-second-kind-U 𝑛 2 𝑥 {\displaystyle{\displaystyle T_{n}\left(x\right)=\tfrac{1}{2}\left(U_{n}\left(% x\right)-U_{n-2}\left(x\right)\right),}}
    0 references
    DLMF id
    DLMF:18.9.E9
    0 references
    Symbols used
    Q11207
    Defining formula
    T n ⁡ ( x ) Chebyshev-polynomial-first-kind-T 𝑛 𝑥 {\displaystyle{\displaystyle T_{\NVar{n}}\left(\NVar{x}\right)}}
    xml-id
    C18.S3.T1.t1.r4.m2aadec
    0 references
    Q11661
    Defining formula
    U n ⁡ ( x ) Chebyshev-polynomial-second-kind-U 𝑛 𝑥 {\displaystyle{\displaystyle U_{\NVar{n}}\left(\NVar{x}\right)}}
    xml-id
    C18.S3.T1.t1.r5.m2aadec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q5605&oldid=57257"