81 citations · 484 across the 73 of their papers we have counts for
8 papers · 2 filters
A quadratic formula for basic hypergeometric series related to Askey-Wilson polynomials
Victor J. W. Guo, Masao Ishikawa, Hiroyuki Tagawa +1
We prove a general quadratic formula for basic hypergeometric series, from which simple proofs of several recent determinant and Pfaffian formulas are obtained. A special case of t…
A generalization of the Mehta-Wang determinant and Askey-Wilson polynomials
Masao Ishikawa, Hiroyuki Tagawa, Jiang Zeng
Motivated by the Gaussian symplectic ensemble, Mehta and Wang evaluated the by determinant in 2000. When , Ciucu and Krattenthaler computed the…
An expansion formula for the inversions and excedances in the symmetric group
Jiang Zeng
We prove a recent conjecture of Blanco and Petersen (arXiv:1206.0803v2) about an expansion formula for inversions and excedances in the symmetric group.
Two truncated identities of Gauss
Victor J. W. Guo, Jiang Zeng
Two new expansions for partial sums of Gauss' triangular and square numbers series are given. As a consequence, we derive a family of inequalities for the overpartition function $\…
On Zudilin's q-question about Schmidt's problem
Victor J. W. Guo, Jiang Zeng
We propose an elemantary approach to Zudilin's q-question about Schmidt's problem [Electron. J. Combin. 11 (2004), #R22], which has been solved in a previous paper [Acta Arith. 127…
Two new triangles of -integers via -Eulerian polynomials of type and
Guoniu Han, Frédéric Jouhet, Jiang Zeng
The classical Eulerian polynomials can be expanded in the basis () with positive integral coefficients. This formula impl…
A symmetrical q-Eulerian identity
Guoniu Han, Zhicong Lin, Jiang Zeng
We find a -analog of the following symmetrical identity involving binomial coefficients and Eulerian numbers , due to Chung, Graham and Knuth [{\it J. Co…
Jacobi-Stirling polynomials and -partitions
Ira M. Gessel, Zhicong Lin, Jiang Zeng
We investigate the diagonal generating function of the Jacobi-Stirling numbers of the second kind $ \JS(n+k,n;z)$ by generalizing the analogous results for the Stirling and Legendr…