DLMF:5.11.E11 (Q2133)

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Language	Label	Description	Also known as
English	DLMF:5.11.E11	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\left|R_{K}(z)\right|\leq\frac{(1+\zeta\left(K% \right))\Gamma\left(K\right)}{2(2\pi)^{K+1}{\left|z\right|^{K}}}\*\left(1+\min% (\sec\left(\operatorname{ph}z\right),2K^{\frac{1}{2}})\right),}}

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DLMF:5.11.E11

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Symbols defined

remainder (locally)

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{\displaystyle{\displaystyle\left|\operatorname{ph}z\right|\leq\frac{1}{2}\pi}}

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Defining formula

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

C5.S2.E1.m2afdec

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Riemann zeta function

Defining formula

{\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}}

C25.S2.E1.m2adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2afdec

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Defining formula

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

C1.S9.E7.m1adec

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secant function

Defining formula

{\displaystyle{\displaystyle\sec\NVar{z}}}

C4.S14.E6.m2adec

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Defining formula

{\displaystyle{\displaystyle z}}

C5.S1.XMD7.m1fdec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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