DLMF:18.17.E45 (Q5786): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:18.17.E45	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle(n+\tfrac{1}{2})(1+x)^{\frac{1}{2}}\int_{-1}^{x}(x% -t)^{-\frac{1}{2}}P_{n}\left(t\right)\mathrm{d}t=T_{n}\left(x\right)+T_{n+1}% \left(x\right),}}

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DLMF:18.17.E45

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Defining formula

{\displaystyle{\displaystyle T_{\NVar{n}}\left(\NVar{x}\right)}}

C18.S3.T1.t1.r4.m2abdec

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Defining formula

{\displaystyle{\displaystyle P_{\NVar{n}}\left(\NVar{x}\right)}}

C18.S3.T1.t1.r10.m2ahdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1aardec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aapdec

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