With the aid of the weight function of an r×r matrix associated with the symmetric group Sr of degree r, we obtain a direct method to determinate the addedfactor of multivariate Gould-Hsu inversion. Furthermore. ...With the aid of the weight function of an r×r matrix associated with the symmetric group Sr of degree r, we obtain a direct method to determinate the addedfactor of multivariate Gould-Hsu inversion. Furthermore. the q-analogue of this formula can also be derived by the same argument.展开更多
The duplicate form of the generalized Gould-Hsu inversions has been obtained by Shi and Zhang. In this paper, we present a simple proof of this duplicate form. With the same method, we construct the duplicate form of ...The duplicate form of the generalized Gould-Hsu inversions has been obtained by Shi and Zhang. In this paper, we present a simple proof of this duplicate form. With the same method, we construct the duplicate form of the generalized Carlitz inversions. Using this duplicate form, we obtain several terminating basic hypergeometric identities and some limiting cases.展开更多
This paper is devoted to investigations on the general theory of inverse chain of arbitrary inverse relation with emphasis on tile inverse chain of Gould-Hsu inverse and of its q-analogue. Some new identities are obta...This paper is devoted to investigations on the general theory of inverse chain of arbitrary inverse relation with emphasis on tile inverse chain of Gould-Hsu inverse and of its q-analogue. Some new identities are obtained under this point of view.展开更多
文摘With the aid of the weight function of an r×r matrix associated with the symmetric group Sr of degree r, we obtain a direct method to determinate the addedfactor of multivariate Gould-Hsu inversion. Furthermore. the q-analogue of this formula can also be derived by the same argument.
文摘The duplicate form of the generalized Gould-Hsu inversions has been obtained by Shi and Zhang. In this paper, we present a simple proof of this duplicate form. With the same method, we construct the duplicate form of the generalized Carlitz inversions. Using this duplicate form, we obtain several terminating basic hypergeometric identities and some limiting cases.
基金Supported by the National Science Foundation of China (19771014)
文摘This paper is devoted to investigations on the general theory of inverse chain of arbitrary inverse relation with emphasis on tile inverse chain of Gould-Hsu inverse and of its q-analogue. Some new identities are obtained under this point of view.
