DLMF:14.9.E12 (Q4804)

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Language	Label	Description	Also known as
English	DLMF:14.9.E12	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\cos\left(\nu\pi\right)P^{-\mu}_{\nu}\left(x\right% )=-\frac{\boldsymbol{Q}^{\mu}_{\nu}\left(x\right)}{\Gamma\left(\mu-\nu\right)}% +\frac{\boldsymbol{Q}^{\mu}_{-\nu-1}\left(x\right)}{\Gamma\left(\nu+\mu+1% \right)}.}}

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DLMF:14.9.E12

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Defining formula

{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2afdec

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Defining formula

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

C14.S21.SS1.p1.m1aadec

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Defining formula

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

C14.S21.SS1.p1.m3adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2agdec

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cosine function

Defining formula

{\displaystyle{\displaystyle\cos\NVar{z}}}

C4.S14.E2.m2afdec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1kdec

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Defining formula

{\displaystyle{\displaystyle\mu}}

C14.S1.XMD7.m1idec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C14.S1.XMD8.m1kdec

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