Notice on added-factor of multivariate Gould-Hsu inversion (Q2721957)

This paper deals with the Gould-Hsu inversion formula which is of great importance for the transformation of integral sequences, the construction of interpolation formulae, and the bijective proof of combinatorial identities and hypergeometric series, etc. In this paper the author gives a direct method to determine the added factor of multivariate Gould-Hsu inversion by using the weight function of an \(r\times r\) matrix associated with the symmetric group \(S_r\) of degree \(r\). Furthermore it is shown that the \(q\)-analogue of this formula can also be derived by using the same argument.