Formula:6394

Digital Library of Mathematical Functions ID 18.15.E7

${\displaystyle{\displaystyle\varepsilon_{M}(\rho,\theta)=\begin{cases}\theta O\left(\rho^{-2M-(3/2)}\right),&c\rho^{-1}\leq\theta\leq\pi-\delta,\\ \theta^{\alpha+(5/2)}O\left(\rho^{-2M+\alpha}\right),&0\leq\theta\leq c\rho^{-1},\end{cases}}}$

Symbols List

• ${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$: order not exceeding
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\delta}}$: arbitary small positive constant
• ${\displaystyle{\displaystyle\rho}}$: 18.15.E5
 

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