Formula:3676

Digital Library of Mathematical Functions ID 9.13.E15

${\displaystyle{\displaystyle\sqrt{2\pi}\left(\tfrac{1}{2}m\right)^{(m-1)/m}\csc\left(\ifrac{\pi}{m}\right)A_{n}\left(z\right)=\begin{cases}U_{m}(t),&m\text{ even},\\ V_{m}(t),&m\text{ odd},\end{cases}}}$

Symbols List

• ${\displaystyle{\displaystyle A_{\NVar{n}}\left(\NVar{z}\right)}}$:
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\csc\NVar{z}}}$: cosecant function
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle n}}$: parameter (locally)
• ${\displaystyle{\displaystyle U_{i}}}$: Smirnov’s generalized Airy function
• ${\displaystyle{\displaystyle m}}$: index
• ${\displaystyle{\displaystyle V_{m}}}$: Olver’s generalized Airy function
 

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