The pochhammer symbol is defined for a positive integer n and complex number z as

This is extended analytically to complex  by using the formula

At all points  such that  and  are positive integers, this is equivalent to:

In the case that  is a non-positive integer, pochhammer(z,a) is defined by this limit.

In the case that both  and  are non-positive integers, Maple also signals the invalid_operation numeric event, allowing the user to control this singular behavior by catching the event. See numeric_events for more information.