DLMF:14.2.E10 (Q4688)

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Language	Label	Description	Also known as
English	DLMF:14.2.E10	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathscr{W}\left\{P^{\mu}_{\nu}\left(x\right),Q^{% \mu}_{\nu}\left(x\right)\right\}=-e^{\mu\pi i}\frac{\Gamma\left(\nu+\mu+1% \right)}{\Gamma\left(\nu-\mu+1\right)\left(x^{2}-1\right)},}}

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DLMF:14.2.E10

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Defining formula

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

C5.S2.E1.m2addec

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Defining formula

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

C14.S21.SS1.p1.m1abdec

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Defining formula

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

C14.S21.SS1.p1.m2adec

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Defining formula

{\displaystyle{\displaystyle\mathscr{W}}}

C1.S13.Px2.p1.m3afdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2acdec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2adec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1idec

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Defining formula

{\displaystyle{\displaystyle\mu}}

C14.S1.XMD7.m1hdec

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