Formula:858

Digital Library of Mathematical Functions ID 2.6.E62

${\displaystyle{\displaystyle I(x)=\sum_{j=0}^{n-1}a_{j}\mathscr{M}\mskip-3.0mu h\mskip 3.0mu \left(j+\alpha\right)x^{-j-\alpha}+\sum_{k=0}^{n-1}b_{k}\mathscr{M}\mskip-3.0mu f\mskip 3.0mu \left(1-k-\beta\right)x^{-k-\beta}+\delta_{n}(x)}}$

Symbols List

• ${\displaystyle{\displaystyle\mathscr{M}\left(\NVar{f}\right)\left(\NVar{s}\right)}}$: Mellin transform
• ${\displaystyle{\displaystyle f(t)}}$: locally integrable function
• ${\displaystyle{\displaystyle I(x)}}$: convolution integral
• ${\displaystyle{\displaystyle n}}$: positive integer
• ${\displaystyle{\displaystyle a_{n}}}$: coefficients
• ${\displaystyle{\displaystyle b_{n}}}$: coefficients
• ${\displaystyle{\displaystyle h(x)}}$: function
• ${\displaystyle{\displaystyle\delta_{n}(x)}}$: integral
 

Resources that cite this formula

No records found.