Formula:2831

Digital Library of Mathematical Functions ID 5.11.E11

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

Constraint(s)

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

Symbols List

• ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$: gamma function
• ${\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}}$: Riemann zeta function
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\operatorname{ph}}}$: phase
• ${\displaystyle{\displaystyle\sec\NVar{z}}}$: secant function
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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