q-Beta Function

A q-analog of the beta function

			(1)
			(2)

where  is a gamma function, is given by

			(3)
			(4)

where  is a q-gamma function,  is a q-Pochhammer symbol coefficient, and

(5)

is a q-integral (Andrews 1986, pp. 11-12).

REFERENCES:

Andrews, G. E. q-Series: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics, and Computer Algebra. Providence, RI: Amer. Math. Soc., 1986.