Formula:2937

Digital Library of Mathematical Functions ID 6.4.E6

${\displaystyle{\displaystyle\mathrm{f}\left(ze^{\pm\pi i}\right)=\pi e^{\mp iz}-\mathrm{f}\left(z\right),}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle\mathrm{f}\left(\NVar{z}\right)}}$: auxiliary function for sine and cosine integrals
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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