Formula:818

Digital Library of Mathematical Functions ID 2.6.E23

${\displaystyle{\displaystyle\lim_{\varepsilon\to 0}\left\langle t^{-s-\alpha},\phi_{\varepsilon}\right\rangle=\frac{\pi}{\sin\left(\pi\alpha\right)}\frac{(-1)^{s}}{z^{s+\alpha}},}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\left\langle\NVar{\Lambda},\NVar{\phi}\right\rangle}}$:
• ${\displaystyle{\displaystyle\sin\NVar{z}}}$: sine function
• ${\displaystyle{\displaystyle\varepsilon}}$: small positive number
 

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