The Pochhammer symbol is the notation used for rising and falling factorials. The $q$-Pochhammer symbol is the $q$-analog.
To be a $q$-analog, the $q$-Pochhammer symbol must equal the original expression (rising or falling factorial) as $q \rightarrow 1$ (or at least $q \rightarrow 1^-$). This is not the case, as is very easy to check. Details in my earlier question here. As I point out there, Wolfram MathWorld and Wikipedia both commit the same error. I'm not sure what the description should be instead, but we can't just have false statements lying around.