DLMF:18.18.E32 (Q5822): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11744 / rank
 
Normal rank
Property / Symbols used: Q11744 / qualifier
 
test:

ℓ ℓ {\displaystyle{\displaystyle\ell}}

\ell
Property / Symbols used: Q11744 / qualifier
 
xml-id: C18.S1.XMD4.m1sdec

Revision as of 00:27, 2 January 2020

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DLMF:18.18.E32
No description defined

    Statements

    test
    2 ⁢ ∑ ℓ = 0 n T 2 ⁢ ℓ ⁡ ( x ) = 1 + U 2 ⁢ n ⁡ ( x ) , 2 superscript subscript ℓ 0 𝑛 Chebyshev-polynomial-first-kind-T 2 ℓ 𝑥 1 Chebyshev-polynomial-second-kind-U 2 𝑛 𝑥 {\displaystyle{\displaystyle 2\sum_{\ell=0}^{n}T_{2\ell}\left(x\right)=1+U_{2n% }\left(x\right),}}
    0 references
    DLMF id
    DLMF:18.18.E32
    0 references
    Symbols used
    Q11207
    test
    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.m2abdec
    0 references
    Q11661
    test
    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
    Q11744
    test
    ℓ ℓ {\displaystyle{\displaystyle\ell}}
    xml-id
    C18.S1.XMD4.m1sdec
    0 references
     
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