2.10.E21

MaRDI QIDQ979

• Label: 2.10.E21

Digital Library of Mathematical Functions ID 2.10.E21

${\displaystyle{\displaystyle\frac{\cot\left(\pi t\right)}{2i}=-\frac{1}{2}-\frac{1}{e^{-2\pi it}-1}=\frac{1}{2}+\frac{1}{e^{2\pi it}-1},}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\cot\NVar{z}}}$: cotangent function
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
 

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