Q-Beta function
From specialfunctionswiki
$$B_q(a,b) = \dfrac{\Gamma_q(a)\Gamma_q(b)}{\Gamma_q(a+b)}$$
$$B_q(a,b) = \displaystyle\int_0^1 \dfrac{t^{a-1}(tq;q)_{\infty}}{(tq^b;q)_{\infty}} d_q t$$
$$B_q(a,b) = \dfrac{\Gamma_q(a)\Gamma_q(b)}{\Gamma_q(a+b)}$$
$$B_q(a,b) = \displaystyle\int_0^1 \dfrac{t^{a-1}(tq;q)_{\infty}}{(tq^b;q)_{\infty}} d_q t$$