DLMF:18.5.E3 (Q5511)

From DRMF
Revision as of 15:15, 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:18.5.E3
No description defined

    Statements

    Defining formula
    V n ⁡ ( x ) = ( sin ⁡ ( n + 1 2 ) ⁢ θ ) / sin ⁡ ( 1 2 ⁢ θ ) , Chebyshev-polynomial-third-kind-V 𝑛 𝑥 𝑛 1 2 𝜃 1 2 𝜃 {\displaystyle{\displaystyle V_{n}\left(x\right)=\ifrac{(\sin(n+\tfrac{1}{2})% \theta)}{\sin\left(\tfrac{1}{2}\theta\right)},}}
    0 references
    DLMF id
    DLMF:18.5.E3
    0 references
    Symbols used
    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.m2adec
    0 references
    sine function
    Defining formula
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2aadec
    0 references
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1bdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q5511&oldid=55985"