Formula:819

Digital Library of Mathematical Functions ID 2.6.E24

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \lim_{\varepsilon\to 0}\intinnerprod{t^{-s-1}}{\phi_{\varepsilon}}=\frac{(-1)^{s+1}}{z^{s+1}}\sum_{k=1}^{s}\frac{1}{k}+\frac{(-1)^{s}}{z^{s+1}}\ln@@{z},}

Symbols List

• ${\displaystyle{\displaystyle\left\langle\NVar{\Lambda},\NVar{\phi}\right\rangle}}$:
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle\varepsilon}}$: small positive number
 

Resources that cite this formula

No records found.