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A new and short proof of expression (3.2e) of Ali?auskas (2002 J. Phys. A: Math. Gen. 35 7323) with obvious triangle conditions for integrals of the Jacobi polynomials is proposed, without any allusion to the special isofactors of Sp(4). Expressions (3.6c) and (3.12) are corrected.

Coupling coefficients of SO(n) and integrals involving Jacobi and Gegenbauer polynomials