no. 1
Spherical functions on a family of quantum 3-spheres
Compositio Mathematica, Tome 83 (1992) no. 1, pp. 19-42. 
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     title = {Spherical functions on a family of quantum 3-spheres},
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     pages = {19--42},
     publisher = {Kluwer Academic Publishers},
     volume = {83},
     number = {1},
     year = {1992},
     mrnumber = {1168121},
     zbl = {0760.33009},
     language = {en},
     url = {http://www.numdam.org/item/CM_1992__83_1_19_0/}
}
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Noumi, Masatoshi; Mimachi, Katsuhisa. Spherical functions on a family of quantum 3-spheres. Compositio Mathematica, Tome 83 (1992) no. 1, pp. 19-42. http://www.numdam.org/item/CM_1992__83_1_19_0/

[AA0] G.E. Andrews and R. Askey: Classical orthogonal polynomials, Lecture note in math. 1171, Springer, 1985, 36-62. | MR | Zbl

[AA1] G.E. Andrews and R. Askey: Another q-extension of the beta function, Proc. Amer. Math. Soc. 81, 1981, 97-100. | MR | Zbl

[AW] R. Askey and J. Wilson: Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials, Mem. Amer. Math. Soc. 319 (1985). | MR | Zbl

[B] G.M. Bergman: The diamond lemma for ring theory, Adv. in Math. 29, 178-218 (1978). | MR | Zbl

[KR] A.N. Kirillov and N. Yu. Reshetikhin: Representations of the algebra U q(sl(2)), q-orthogonal polynomials and invariants of links, in Infinite dimensional Lie algebras and groups, edited by V.G. Kac, World Scientific, 285-339 (1989). | MR | Zbl

[KK] H.T. Koelink and T.H. Koornwinder: The Clebsch-Gordan coefficients for the quantum group Sμ U(2) and q-Hahn polynomials, Nederl. Akad. Wetensch. Proc. Ser A 92, 443-456 (1989). | Zbl

[K] T.H. Koornwinder: Representations of the twisted SU(2) quantum group and some q-hypergeometric orthogonal polynomials, Nederl. Akad. Wetensch. Proc. Ser. A 92, 97-117 (1989). | MR | Zbl

[M0] T. Masuda, K. Mimachi, Y. Nakagami, M. Noumi and K. Ueno: Representations of quantum groups and a q-analogue of orthogonal polynomials, C.R. Acad. Sci. Paris, 307, 1988, Série I, 559-564. | MR | Zbl

[M1] T. Masuda, K. Mimachi, Y. Nakagami, M. Noumi and K. Ueno: Representations of the quantum group SU q(2) and the little q-Jacobi polynomials, J. Funct. Anal. 99, 357-386 (1991). | MR | Zbl

[NM0] M. Noumi and K. Mimachi: Quantum 2-spheres and big q-Jacobi polynomials, Commun. Math. Phys. 128, 521-531 (1990). | MR | Zbl

[NM1] M. Noumi and K. Mimachi: Big q-Jacobi polynomials, q-Hahn polynomials and a family of quantum 3-spheres, Lett. Math. Phys. 19, 299-305 (1990). | MR | Zbl

[S] D. Stanton: Some q-Krawtchouk polynomials on Chevalley groups, Amer. J. Math., 102, 625-662 (1980). | MR | Zbl

[V] L.L. Vaksman: q-Analogues of Clebsch-Gordan coefficients, and the algebra of functions on the quantum group SU(2), Soviet Math. Dokl., 39, 467-470 (1989). | MR | Zbl

[VS] L.L. Vaksman And Ya. S. Soibelman: Algebra of functions on the quantum group SU(2), Functional Anal. Appl. 22, 170-181 (1988). | MR | Zbl