DLMF:30.6.E5 (Q8864)

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No description defined

Language	Label	Description	Also known as
English	DLMF:30.6.E5	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathit{Qs}^{m}_{n}\left(x\pm\mathrm{i}0,\gamma^{2% }\right)={(\mp\mathrm{i})^{m}\left(\mathsf{Qs}^{m}_{n}\left(x,\gamma^{2}\right% )\mp\tfrac{1}{2}\mathrm{i}\pi\mathsf{Ps}^{m}_{n}\left(x,\gamma^{2}\right)% \right)}.}}

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DLMF:30.6.E5

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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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Defining formula

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

C1.S9.E1.m2aadec

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Defining formula

{\displaystyle{\displaystyle\mathit{Qs}^{\NVar{m}}_{\NVar{n}}\left(\NVar{z},% \NVar{\gamma^{2}}\right)}}

C30.S6.p1.m2acdec

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Defining formula

{\displaystyle{\displaystyle\mathsf{Ps}^{\NVar{m}}_{\NVar{n}}\left(\NVar{x},% \NVar{\gamma^{2}}\right)}}

C30.S4.SS1.m1aadec

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Defining formula

{\displaystyle{\displaystyle\mathsf{Qs}^{\NVar{m}}_{\NVar{n}}\left(\NVar{x},% \NVar{\gamma^{2}}\right)}}

C30.S5.m1adec

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Defining formula

{\displaystyle{\displaystyle x}}

C30.S1.XMD2.m1adec

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Defining formula

{\displaystyle{\displaystyle m}}

C30.S1.XMD4.m1ddec

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Defining formula

{\displaystyle{\displaystyle n\geq m}}

C30.S1.XMD5.m1ddec

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Defining formula

{\displaystyle{\displaystyle\gamma^{2}}}

C30.S2.XMD3.m1cdec

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Sitelinks

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