DLMF:4.4.E16

MaRDI QIDQ1593

• Label: DLMF:4.4.E16

Digital Library of Mathematical Functions ID 4.4.E16

${\displaystyle{\displaystyle\lim_{z\to\infty}z^{a}e^{-z}=0,}}$

Constraint(s)

${\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{1}{2}\pi-\delta}}$
${\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{1}{2}\pi-\delta}}$
${\displaystyle{\displaystyle<\tfrac{1}{2}\pi}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\operatorname{ph}}}$: phase
• ${\displaystyle{\displaystyle a}}$: real or complex constant
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle\delta}}$: constant
 Edit this on Wikidata

Resources that cite this formula

No records found.