Formula:3885

Digital Library of Mathematical Functions ID 10.17.E18

${\displaystyle{\displaystyle R_{m,\ell}^{\pm}(\nu,z)=O\left(e^{-2|z|}z^{-m}\right),}}$

Constraint(s)

${\displaystyle{\displaystyle|\operatorname{ph}\left(ze^{\mp\frac{1}{2}\pi i}\right)|\leq\pi}}$

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
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle\operatorname{ph}}}$: phase
• ${\displaystyle{\displaystyle m}}$: integer
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle\nu}}$: complex parameter
 

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