DLMF:14.9.E17 (Q4809)

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Language	Label	Description	Also known as
English	DLMF:14.9.E17	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle P^{\mu}_{\nu}\left(x\right)=(2/\pi)^{1/2}\left(x^% {2}-1\right)^{-1/4}\*\boldsymbol{Q}^{\nu+(1/2)}_{-\mu-(1/2)}\left(x\left(x^{2}% -1\right)^{-1/2}\right).}}

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DLMF:14.9.E17

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Defining formula

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

C14.S21.SS1.p1.m1aedec

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Defining formula

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

C14.S21.SS1.p1.m3addec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2ajdec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1pdec

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Defining formula

{\displaystyle{\displaystyle\mu}}

C14.S1.XMD7.m1mdec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C14.S1.XMD8.m1pdec

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