Formula:4778

Digital Library of Mathematical Functions ID 11.11.E15

${\displaystyle{\displaystyle\mathbf{A}_{-\nu}\left(\lambda\nu\right)\sim\left(\frac{2}{\pi\nu}\right)^{1/2}\left(\frac{1+\sqrt{1-\lambda^{2}}}{\lambda}\right)^{\nu}\frac{e^{-\nu\sqrt{1-\lambda^{2}}}}{(1-\lambda^{2})^{1/4}},}}$

Constraint(s)

${\displaystyle{\displaystyle 0<\lambda<1}}$

Symbols List

• ${\displaystyle{\displaystyle\mathbf{A}_{\NVar{\nu}}\left(\NVar{z}\right)}}$: Anger–Weber function
• ${\displaystyle{\displaystyle\sim}}$: asymptotic equality
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\nu}}$: real or complex order
• ${\displaystyle{\displaystyle\lambda}}$: parameter
 

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