Formula:753

Digital Library of Mathematical Functions ID 2.5.E7

${\displaystyle{\displaystyle E(x)=\frac{1}{2\pi i}\int_{d-i\infty}^{d+i\infty}x^{-z}\mathscr{M}\mskip-3.0mu f\mskip 3.0mu \left(1-z\right)\mathscr{M}\mskip-3.0mu h\mskip 3.0mu \left(z\right)\mathrm{d}z.}}$

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
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle f(x)}}$: locally integrable function
• ${\displaystyle{\displaystyle h(x)}}$: function
• ${\displaystyle{\displaystyle d}}$: point
• ${\displaystyle{\displaystyle E(x)}}$: function
 

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