Formula:3530

Digital Library of Mathematical Functions ID 9.7.E23

${\displaystyle{\displaystyle R_{m,n}(z),S_{m,n}(z)=O\left(e^{-2|\zeta|}\zeta^{-m}\right),}}$

Constraint(s)

${\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{2}{3}\pi}}$

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
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle\zeta}}$: change of variable (locally)
• ${\displaystyle{\displaystyle m}}$: index
• ${\displaystyle{\displaystyle n}}$: index
• ${\displaystyle{\displaystyle R_{n}}}$: remainder function (locally)
• ${\displaystyle{\displaystyle S_{n}}}$: remainder function (locally)
 

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