Unitary representations of the quantum group \(\text{SU}_q(1,1)\). II: Matrix elements of unitary representations and the basic hypergeometric functions (Q916764)

[For part I, see Lett. Math. Phys. 19, No. 3, 187--194 (1990; Zbl 0704.17007)] Some series of unitary representations of the quantum group \(\text{SU}_q(1,1)\) are introduced. The matrix elements in these representations are expressed in terms of the basic hypergeometric functions. Operator realization of the coordinate elements of \(\text{SU}_q(1,1)\) and a \(q\)-analogue of some classical identities are discussed.