DLMF:18.7.E17 (Q5585)

From DRMF
Revision as of 15:21, 2 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:18.7.E17
No description defined

    Statements

    Defining formula
    U 2 ⁢ n ⁡ ( x ) = V n ⁡ ( 2 ⁢ x 2 - 1 ) , Chebyshev-polynomial-second-kind-U 2 𝑛 𝑥 Chebyshev-polynomial-third-kind-V 𝑛 2 superscript 𝑥 2 1 {\displaystyle{\displaystyle U_{2n}\left(x\right)=V_{n}\left(2x^{2}-1\right),}}
    0 references
    DLMF id
    DLMF:18.7.E17
    0 references
    Symbols used
    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.m2abdec
    0 references
    Q11745
    Defining formula
    V n ⁡ ( x ) Chebyshev-polynomial-third-kind-V 𝑛 𝑥 {\displaystyle{\displaystyle V_{\NVar{n}}\left(\NVar{x}\right)}}
    xml-id
    C18.S3.T1.t1.r6.m2aadec
    0 references
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1pdec
    0 references
    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1pdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q5585&oldid=56917"