DLMF:3.11.E13 (Q1454): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
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.m2afdec

Revision as of 17:59, 1 January 2020

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DLMF:3.11.E13
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    Statements

    ϵ n ( x ) = d n + 1 T n + 1 ( 2 x - a - b b - a ) , subscript italic-ϵ 𝑛 𝑥 subscript 𝑑 𝑛 1 Chebyshev-polynomial-first-kind-T 𝑛 1 2 𝑥 𝑎 𝑏 𝑏 𝑎 {\displaystyle{\displaystyle\epsilon_{n}(x)=d_{n+1}T_{n+1}\left(\frac{2x-a-b}{% b-a}\right),}}
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    DLMF:3.11.E13
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    T n ( x ) Chebyshev-polynomial-first-kind-T 𝑛 𝑥 {\displaystyle{\displaystyle T_{\NVar{n}}\left(\NVar{x}\right)}}
    C18.S3.T1.t1.r4.m2afdec
    0 references