Formula:4327

Digital Library of Mathematical Functions ID 10.43.E16

${\displaystyle{\displaystyle\mathrm{Ki}_{\alpha}\left(0\right)=\frac{\sqrt{\pi}\Gamma\left(\frac{1}{2}\alpha\right)}{2\Gamma\left(\frac{1}{2}\alpha+\frac{1}{2}\right)},}}$

Constraint(s)

${\displaystyle{\displaystyle\alpha\neq 0,-2,-4,\dots}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{Ki}_{\NVar{\alpha}}\left(\NVar{x}\right)}}$: Bickley function
• ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$: gamma function
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
 

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