Formula:781

Digital Library of Mathematical Functions ID 2.5.E35

${\displaystyle{\displaystyle I_{jk}(x)=\sum_{p_{jk}<\Re z<q_{jk}}\Residue\left[-x^{-z}G_{jk}(z)\right]+E_{jk}(x),}}$

Symbols List

• ${\displaystyle{\displaystyle\Re}}$: real part
• ${\displaystyle{\displaystyle\Residue}}$:
• ${\displaystyle{\displaystyle G_{jk}(z)}}$: function
• ${\displaystyle{\displaystyle p_{jk}}}$: real number
• ${\displaystyle{\displaystyle q_{jk}>p_{jk}}}$: real number
• ${\displaystyle{\displaystyle E_{jk}(x)}}$: function
• ${\displaystyle{\displaystyle I(x)}}$: convolution integral
 

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