On q-analogues of double Euler sums

In this paper we study properties of a q-analogue of the function π / sin π z which is defined by means of Jacksonʼs q-gamma function and a reflection formula for the gamma function. As application, we obtain evaluations for q-analogues of double Euler sums in terms of single q-zeta values. We also derive a q-analogue of a well-known formula for the multiple zeta-star value ζ ⁎ ( { 2 } a ) .