3 citations · 6 across the 9 of their papers we have counts for
11 papers
The Andrews-Stanley partition function and Al-Salam-Chihara polynomials
Masao Ishikawa, Jiang Zeng
We show that the sum of the four parameter weights over all ordinary or strict partitions with parts each less than or equal to a given integer is expressed by the Al-Salam Chi…
Applications of Waring's formula to some identities of Chebyshev polynomials
Jiang Zeng, Jin Zhou
Some identities of Chebyshev polynomials are deduced from Waring's formula on symmetric functions. In particular, these formulae generalize some recent results of Grabner and Prodi…
A q-Analog of Dual Sequences with Applications
Sharon J. X. Hou, Jiang Zeng
In the present paper combinatorial identities involving q-dual sequences or polynomials with coefficients q-dual sequences are derived. Further, combinatorial identities for q-bino…
Generalizations of Cauchy's Determinant and Schur's Pfaffian
Masao Ishikawa, Soichi Okada, Hiroyuki Tagawa +1
We present several generalizations of Cauchy's determinant and Schur's Pfaffian by considering matrices whose entries involve some generalized Vandermonde determinants. Special cas…
On some -identities related to divisor functions
Jiang Zeng
We give generalizations and simple proofs of some -identities of Dilcher, Fu and Lascoux related to divisor functions.
The Number of Convex Polyominoes and the Generating Function of Jacobi Polynomials
Victor J. W. Guo, Jiang Zeng
Lin and Chang gave a generating function of convex polyominoes with an by minimal bounding rectangle. Gessel showed that their result implies that the number of such po…