DLMF:9.7.E17 (Q2826)

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Language	Label	Description	Also known as
English	DLMF:9.7.E17	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\begin{cases}1,&|\operatorname{ph}z|\leq\tfrac{1}{% 3}\pi,\\ \min\left(|\csc\left(\operatorname{ph}\zeta\right)|,\chi(n+\sigma)+1\right),&% \tfrac{1}{3}\pi\leq|\operatorname{ph}z|\leq\tfrac{2}{3}\pi,\\ \frac{\sqrt{2\pi(n+\sigma)}}{|\cos\left(\operatorname{ph}\zeta\right)|^{n+% \sigma}}+\chi(n+\sigma)+1,&\tfrac{2}{3}\pi\leq|\operatorname{ph}z|<\pi,\end{% cases}}}

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DLMF:9.7.E17

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2andec

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cosecant function

Defining formula

{\displaystyle{\displaystyle\csc\NVar{z}}}

C4.S14.E5.m2adec

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cosine function

Defining formula

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

C4.S14.E2.m2afdec

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exponential function

Defining formula

{\displaystyle{\displaystyle\exp\NVar{z}}}

C4.S2.E19.m2aadec

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Defining formula

{\displaystyle{\displaystyle\operatorname{ph}}}

C1.S9.E7.m1ajdec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1adec

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Defining formula

{\displaystyle{\displaystyle z}}

C9.S1.XMD3.m1kdec

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change of variable (locally)

Defining formula

{\displaystyle{\displaystyle\zeta}}

C9.S7.XMD1.m1kdec

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function (locally)

Defining formula

{\displaystyle{\displaystyle\chi(x)}}

C9.S7.XMD4.m1ddec

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Defining formula

{\displaystyle{\displaystyle n}}

C9.S7.XMD8.m1dec

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Defining formula

{\displaystyle{\displaystyle\sigma}}

C9.S7.XMD9.m1dec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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