Formula:3005

Digital Library of Mathematical Functions ID 6.15.E2

${\displaystyle{\displaystyle\sum_{n=1}^{\infty}\frac{\mathrm{si}\left(\pi n\right)}{n}=\tfrac{1}{2}\pi(\ln\pi-1),}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle\mathrm{si}\left(\NVar{z}\right)}}$: sine integral
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
 

Resources that cite this formula

No records found.