Formula:3435

Digital Library of Mathematical Functions ID 8.21.E15

${\displaystyle{\displaystyle\mathrm{Ci}\left(a,z\right)=z^{a}\sum_{k=0}^{\infty}\frac{(-1)^{k}z^{2k}}{(2k+a)(2k)!},}}$

Constraint(s)

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

Symbols List

• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle\mathrm{Ci}\left(\NVar{a},\NVar{z}\right)}}$: generalized cosine integral
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle a}}$: parameter
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
 

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