Formula:4766

Digital Library of Mathematical Functions ID 11.11.E8

${\displaystyle{\displaystyle\mathbf{A}_{\nu}\left(\lambda\nu\right)\sim\frac{1}{\pi}\sum_{k=0}^{\infty}\frac{(2k)!\,a_{k}(\lambda)}{\nu^{2k+1}},}}$

Constraint(s)

${\displaystyle{\displaystyle|\operatorname{ph}\nu|\leq\pi-\delta}}$
${\displaystyle{\displaystyle|\operatorname{ph}\nu|\leq\pi-\delta}}$
${\displaystyle{\displaystyle<\pi}}$

Symbols List

• ${\displaystyle{\displaystyle\mathbf{A}_{\NVar{\nu}}\left(\NVar{z}\right)}}$: Anger–Weber function
• ${\displaystyle{\displaystyle\sim}}$:
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle\operatorname{ph}}}$: phase
• ${\displaystyle{\displaystyle\nu}}$: real or complex order
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle\delta}}$: arbitrary small positive constant
• ${\displaystyle{\displaystyle\lambda}}$: parameter
• ${\displaystyle{\displaystyle a_{k}(\lambda)}}$: expansion function
 

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