  An analogue of the Moyal star product is presented for the deformed
oscillator algebra. It contains several homotopy-like additional integration
parameters in the multiplication kernel generalizing the differential Moyal
star-product formula $\exp[i\epsilon_{\alpha\beta}\partial^\alpha
\partial^\beta]$. Using Pochhammer formula, integration over these parameters
is carried over a Riemann surface associated with the expression of the type
$z^x (1-z)^y$ where $x$ and $y$ are arbitrary real numbers.
