Formula:3685

Digital Library of Mathematical Functions ID 9.13.E23

${\displaystyle{\displaystyle U_{1}(x,\alpha)=\frac{\pi^{1/2}}{2^{(m+2)/(2m)}\Gamma\left(1/m\right)}\left(W_{m}(t)+W_{m}(-t)\right),}}$

Symbols List

• ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$: gamma function
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\alpha}}$: parameter (locally)
• ${\displaystyle{\displaystyle x}}$: parameter (locally)
• ${\displaystyle{\displaystyle U_{i}}}$: Smirnov’s generalized Airy function
• ${\displaystyle{\displaystyle m}}$: index
• ${\displaystyle{\displaystyle W_{m}}}$: function (locally)
 

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