Formula:2951

Digital Library of Mathematical Functions ID 6.6.E6

${\displaystyle{\displaystyle\mathrm{Ci}\left(z\right)=\gamma+\ln z+\sum_{n=1}^{\infty}\frac{(-1)^{n}z^{2n}}{(2n)!(2n)}.}}$

Symbols List

• ${\displaystyle{\displaystyle\gamma}}$: Euler’s constant
• ${\displaystyle{\displaystyle\mathrm{Ci}\left(\NVar{z}\right)}}$: cosine integral
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
 

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