DLMF:3.11.E7 (Q1448): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q11207 / rank
 
Normal rank
Property / Symbols used: Q11207 / qualifier
 
Defining formula:

T n ⁡ ( x ) Chebyshev-polynomial-first-kind-T 𝑛 𝑥 {\displaystyle{\displaystyle T_{\NVar{n}}\left(\NVar{x}\right)}}

\ChebyshevpolyT{\NVar{n}}@{\NVar{x}}
Property / Symbols used: Q11207 / qualifier
 
xml-id: C18.S3.T1.t1.r4.m2aadec

Latest revision as of 17:58, 1 January 2020

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DLMF:3.11.E7
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    Statements

    Defining formula
    T n + 1 ⁡ ( x ) - 2 ⁢ x ⁢ T n ⁡ ( x ) + T n - 1 ⁡ ( x ) = 0 , Chebyshev-polynomial-first-kind-T 𝑛 1 𝑥 2 𝑥 Chebyshev-polynomial-first-kind-T 𝑛 𝑥 Chebyshev-polynomial-first-kind-T 𝑛 1 𝑥 0 {\displaystyle{\displaystyle T_{n+1}\left(x\right)-2xT_{n}\left(x\right)+T_{n-% 1}\left(x\right)=0,}}
    0 references
    DLMF id
    DLMF:3.11.E7
    0 references
    constraint
    n = 1 , 2 , … 𝑛 1 2 … {\displaystyle{\displaystyle n=1,2,\dots}}
    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
     
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