DLMF:14.12.E12 (Q4833)

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Language	Label	Description	Also known as
English	DLMF:14.12.E12	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\boldsymbol{Q}^{m}_{n}\left(x\right)=\frac{1}{(n-m% )!}P^{m}_{n}\left(x\right)\int_{x}^{\infty}\frac{\mathrm{d}t}{\left(t^{2}-1% \right)\left(\displaystyle P^{m}_{n}\left(t\right)\right)^{2}},}}

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DLMF:14.12.E12

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{\displaystyle{\displaystyle n\geq m}}

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Defining formula

{\displaystyle{\displaystyle P^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{z}\right)}}

C14.S21.SS1.p1.m1addec

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Defining formula

{\displaystyle{\displaystyle\boldsymbol{Q}^{\NVar{\mu}}_{\NVar{\nu}}\left(% \NVar{z}\right)}}

C14.S21.SS1.p1.m3acdec

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Defining formula

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

C1.S4.SS4.m1ajdec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5acdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3ajdec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1idec

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Defining formula

{\displaystyle{\displaystyle m}}

C14.S1.XMD5.m1ddec

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Defining formula

{\displaystyle{\displaystyle n}}

C14.S1.XMD6.m1cdec

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