On defining the q-beta function for negative integers
On defining the q-beta function for negative integers
The q-beta function Bq(t, s) is defined for s, t > 0 and 0 < q < 1. Its definition can be extended, by regularization, to negative non-integer values of t and s. In this paper we define the q-beta function Bq(t, s) for negative integer values of t and …