Formula:3707

Digital Library of Mathematical Functions ID 10.2.E5

${\displaystyle{\displaystyle{H^{(1)}_{\nu}}\left(z\right)\sim\sqrt{2/(\pi z)}e^{i(z-\frac{1}{2}\nu\pi-\frac{1}{4}\pi)}}}$

Symbols List

• ${\displaystyle{\displaystyle\sim}}$: asymptotic equality
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle\nu}}$: complex parameter
 

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