Formula:4772

Digital Library of Mathematical Functions ID 11.11.E11

${\displaystyle{\displaystyle\mathbf{A}_{-\nu}\left(\lambda\nu\right)\sim\left(\frac{2}{\pi\nu}\right)^{1/2}e^{-\nu\mu}\sum_{k=0}^{\infty}\frac{(\tfrac{1}{2})_{k}b_{k}(\lambda)}{\nu^{k}},}}$

Constraint(s)

${\displaystyle{\displaystyle\nu\to+\infty}}$

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
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\nu}}$: real or complex order
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle\lambda}}$: parameter
• ${\displaystyle{\displaystyle b_{k}(\lambda)}}$: expansion function
 

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