Formula:3433

Digital Library of Mathematical Functions ID 8.21.E13

${\displaystyle{\displaystyle\mathrm{Ci}\left(a,\infty\right)=\Gamma\left(a\right)\cos\left(\tfrac{1}{2}\pi a\right),}}$

Constraint(s)

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

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
• ${\displaystyle{\displaystyle\cos\NVar{z}}}$: cosine function
• ${\displaystyle{\displaystyle\mathrm{Ci}\left(\NVar{a},\NVar{z}\right)}}$: generalized cosine integral
• ${\displaystyle{\displaystyle a}}$: parameter
 

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