DLMF:14.23.E6 (Q4952)

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Language	Label	Description	Also known as
English	DLMF:14.23.E6	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathsf{Q}^{\mu}_{\nu}\left(x\right)=e^{\mp\mu\pi i% /2}\Gamma\left(\nu+\mu+1\right)\boldsymbol{Q}^{\mu}_{\nu}\left(x\pm i0\right)% \pm\tfrac{1}{2}\pi ie^{\pm\mu\pi i/2}P^{\mu}_{\nu}\left(x\pm i0\right).}}

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DLMF:14.23.E6

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Defining formula

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

C5.S2.E1.m2acdec

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Ferrers function of the second kind

Defining formula

{\displaystyle{\displaystyle\mathsf{Q}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}% \right)}}

C14.S3.E2.m2abdec

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

C14.S21.SS1.p1.m3acdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aedec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2aedec

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Defining formula

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

C1.S9.E1.m2aedec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1edec

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Defining formula

{\displaystyle{\displaystyle\mu}}

C14.S1.XMD7.m1edec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C14.S1.XMD8.m1edec

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Sitelinks

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