is it possibel to solve the equation
g$(x)= \sum_{n=1}^{\infty}f(x/n) $ for $ f(x)$ with other methods different from taking the Mellin transform on both sides ?? thanks.
$\begingroup$
$\endgroup$
2
asked Oct 8, 2012 at 10:42
-
$\begingroup$ could you tell us more about $f$? $\endgroup$– MemmingOct 8, 2012 at 13:05
-
$\begingroup$ f(x) is of the order $ f(x)= O(x^{a}) $ at least for big 'x' and an integer positive 'a' $\endgroup$– Jose GarciaOct 8, 2012 at 18:48
Add a comment
|