Formula:755

Digital Library of Mathematical Functions ID 2.5.E9

${\displaystyle{\displaystyle\mathscr{M}\mskip-3.0mu f\mskip 3.0mu \left(1-z\right)=\frac{\pi}{\sin\left(\pi z\right)},}}$

Constraint(s)

${\displaystyle{\displaystyle 0<\Re z<1}}$

Symbols List

• ${\displaystyle{\displaystyle\mathscr{M}\left(\NVar{f}\right)\left(\NVar{s}\right)}}$: Mellin transform
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\Re}}$: real part
• ${\displaystyle{\displaystyle\sin\NVar{z}}}$: sine function
• ${\displaystyle{\displaystyle f(t)=1/(1+t)}}$: function
 

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