Formula:782

Digital Library of Mathematical Functions ID 2.5.E36

${\displaystyle{\displaystyle E_{jk}(x)=\frac{1}{2\pi i}\int_{q_{jk}-i\infty}^{q_{jk}+i\infty}x^{-z}G_{jk}(z)\mathrm{d}z=o\left(x^{-q_{jk}}\right)}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: 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
• ${\displaystyle{\displaystyle o\left(\NVar{x}\right)}}$: order less than
• ${\displaystyle{\displaystyle G_{jk}(z)}}$: function
• ${\displaystyle{\displaystyle q_{jk}>p_{jk}}}$: real number
• ${\displaystyle{\displaystyle E_{jk}(x)}}$: function
 

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