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
Let F<sub>q</sub> be a finite field of q elements with characteristic p. Let k=F<sub>q</sub>（T） be a ra-tional function field, and k<sup>ac</sup>, a fixed algebraic closure of k. ...Let F<sub>q</sub> be a finite field of q elements with characteristic p. Let k=F<sub>q</sub>（T） be a ra-tional function field, and k<sup>ac</sup>, a fixed algebraic closure of k. Let M be a monic polynomialin R=F<sub>q</sub>[T]. The Carlitz action of M on a∈k<sup>ac</sup> is defined展开更多
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.
文摘Let F<sub>q</sub> be a finite field of q elements with characteristic p. Let k=F<sub>q</sub>（T） be a ra-tional function field, and k<sup>ac</sup>, a fixed algebraic closure of k. Let M be a monic polynomialin R=F<sub>q</sub>[T]. The Carlitz action of M on a∈k<sup>ac</sup> is defined
