DLMF:5.19.E3

MaRDI QIDQ2901

• Label: DLMF:5.19.E3

Digital Library of Mathematical Functions ID 5.19.E3

${\displaystyle{\displaystyle S=\psi\left(\tfrac{1}{2}\right)-2\psi\left(\tfrac{2}{3}\right)-\gamma=3\ln 3-2\ln 2-\tfrac{1}{3}\pi\sqrt{3}.}}$

Symbols List

• ${\displaystyle{\displaystyle\gamma}}$: Euler’s constant
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\psi\left(\NVar{z}\right)}}$: psi (or digamma) function
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
 

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