DLMF:18.7.E8 (Q5576): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: Q11748 / rank
 
Normal rank
Property / Symbols used: Q11748 / qualifier
 
Defining formula:

U n * ( x ) shifted-Chebyshev-polynomial-second-kind-U-star 𝑛 𝑥 {\displaystyle{\displaystyle U^{*}_{\NVar{n}}\left(\NVar{x}\right)}}

\shiftChebyshevpolyU{\NVar{n}}@{\NVar{x}}
Property / Symbols used: Q11748 / qualifier
 
xml-id: C18.S3.T1.t1.r9.m2adec
Property / Symbols used
 
Property / Symbols used: Q11726 / rank
 
Normal rank
Property / Symbols used: Q11726 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11726 / qualifier
 
xml-id: C18.S1.XMD6.m1gdec
Property / Symbols used
 
Property / Symbols used: Q11727 / rank
 
Normal rank
Property / Symbols used: Q11727 / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11727 / qualifier
 
xml-id: C18.S2.XMD3.m1gdec

Latest revision as of 15:19, 2 January 2020

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DLMF:18.7.E8
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    Statements

    U n * ( x ) = U n ( 2 x - 1 ) . shifted-Chebyshev-polynomial-second-kind-U-star 𝑛 𝑥 Chebyshev-polynomial-second-kind-U 𝑛 2 𝑥 1 {\displaystyle{\displaystyle U^{*}_{n}\left(x\right)=U_{n}\left(2x-1\right).}}
    0 references
    DLMF:18.7.E8
    0 references
    U n ( x ) Chebyshev-polynomial-second-kind-U 𝑛 𝑥 {\displaystyle{\displaystyle U_{\NVar{n}}\left(\NVar{x}\right)}}
    C18.S3.T1.t1.r5.m2aadec
    0 references
    U n * ( x ) shifted-Chebyshev-polynomial-second-kind-U-star 𝑛 𝑥 {\displaystyle{\displaystyle U^{*}_{\NVar{n}}\left(\NVar{x}\right)}}
    C18.S3.T1.t1.r9.m2adec
    0 references
    n 𝑛 {\displaystyle{\displaystyle n}}
    C18.S1.XMD6.m1gdec
    0 references
    x 𝑥 {\displaystyle{\displaystyle x}}
    C18.S2.XMD3.m1gdec
    0 references