Formula:1018

Digital Library of Mathematical Functions ID 2.11.E22

${\displaystyle{\displaystyle R_{m,n}^{(1)}(z)=\begin{cases}O\left(e^{-|z|-z}z^{-m}\right),&|\operatorname{ph}z|\leq\pi,\\ O\left(z^{-m}\right),&\pi\leq|\operatorname{ph}z|\leq\frac{5}{2}\pi-\delta,\end{cases}}}$

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
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\operatorname{ph}}}$: phase
• ${\displaystyle{\displaystyle R_{n}^{(j)}(z)}}$: remainder
• ${\displaystyle{\displaystyle\delta}}$: positive constant
 

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