Formula:3671

Digital Library of Mathematical Functions ID 9.13.E11

${\displaystyle{\displaystyle B_{n}\left(z\right)={\pi}^{-1/2}z^{-n/4}e^{\zeta}\left(1+O\left(\zeta^{-1}\right)\right),}}$

Constraint(s)

${\displaystyle{\displaystyle|\operatorname{ph}z|\leq p\pi-\delta}}$

Symbols List

• ${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$: order not exceeding
• ${\displaystyle{\displaystyle B_{\NVar{n}}\left(\NVar{z}\right)}}$:
• ${\displaystyle{\displaystyle\pi}}$: 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
• ${\displaystyle{\displaystyle\delta}}$: small positive constant
• ${\displaystyle{\displaystyle n}}$: parameter (locally)
• ${\displaystyle{\displaystyle p}}$: variable
• ${\displaystyle{\displaystyle\zeta}}$: variable
 

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