Formula:816

Digital Library of Mathematical Functions ID 2.6.E21

${\displaystyle{\displaystyle(-1)^{s+1}d_{s+1}=\frac{a_{s}}{s!}\sum_{k=1}^{s}\frac{1}{k}+\frac{1}{s!}\lim_{z\to s+1}\left(\mathscr{M}\mskip-3.0mu f\mskip 3.0mu \left(z\right)+\frac{a_{s}}{z-s-1}\right),}}$

Symbols List

• ${\displaystyle{\displaystyle\mathscr{M}\left(\NVar{f}\right)\left(\NVar{s}\right)}}$: Mellin transform
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle d_{s}}}$: coefficients
• ${\displaystyle{\displaystyle f(t)}}$: locally integrable function
• ${\displaystyle{\displaystyle a_{n}}}$: coefficients
 

Resources that cite this formula

No records found.