DLMF:14.20.E2 (Q4923)

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Language	Label	Description	Also known as
English	DLMF:14.20.E2	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\widehat{\mathsf{Q}}^{-\mu}_{-\frac{1}{2}+i\tau}% \left(x\right)=\Re\left(e^{\mu\pi i}\mathsf{Q}^{-\mu}_{-\frac{1}{2}+i\tau}% \left(x\right)\right)-\tfrac{1}{2}\pi\sin\left(\mu\pi\right)\mathsf{P}^{-\mu}_% {-\frac{1}{2}+i\tau}\left(x\right).}}

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DLMF:14.20.E2

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Symbols defined

conical function

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Ferrers function of the first kind

Defining formula

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

C14.S3.E1.m2adec

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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.m2adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2adec

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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\Re}}

C1.S9.E2.m1adec

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Defining formula

{\displaystyle{\displaystyle\sin\NVar{z}}}

C4.S14.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1adec

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Defining formula

{\displaystyle{\displaystyle\tau}}

C14.S1.XMD3.m1adec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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