Ahmedov, HDuru, IH2024-06-122024-06-1220010305-4470https://doi.org/10.1088/0305-4470/34/2/302https://hdl.handle.net/20.500.14551/25031SU(1, 1) is considered as the automorphism group of the Heisenberg algebra H. The basis in the Hilbert space K of functions on H on which the irreducible representations of the group are realized is explicitly constructed. From group theoretical considerations summation formulae for the product of two, three and four hypergeometric functions are derived.en10.1088/0305-4470/34/2/302info:eu-repo/semantics/openAccessGreen-FunctionQuantumPlaneArticle342227234Q1WOS:0001666552000022-s2.0-0035910682N/A