“…As in the situations that were previously studied, the Bernstein-Reznikov integrals associated with spherical degenerate principal series of the complex symplectic group Sp(n, C) is can be expressed in terms of hypergeometric functions. The existence of the closed formula ( †) in the case n = 1 is consistent with the results obtained in the conformal case studied in [CKØP11], [C Ø11] and [Dei06], in view of the isogeny between Sp(1, C) = SL(2, C) and SO • (3, 1).…”