81 citations · 484 across the 73 of their papers we have counts for
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A note on two identities arising from enumeration of convex polyominoes
Victor J. W. Guo, Jiang Zeng
Motivated by some binomial coefficients identities encountered in our approach to the enumeration of convex polyominoes, we prove some more general identities of the same type, one…
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…
Two new families of q-positive integers
Sharon J. X. Hou, Jiang Zeng
Let be three positive integers. We prove that the rational fractions of : $${n \brack k}_{q} {}_3ϕ_{2} [ . {matrix}q^{1-k},q^{-p},q^{p-n} q,q^{1-n} {matrix}| q;q^{k+1}]\…
A generalization of Kawanaka's identity for Hall-Littlewood polynomials and applications
M. Ishikawa, F. Jouhet, J. Zeng
An infinite summation formula of Hall-Littlewood polynomials due to Kawanaka is generalized to a finite summation formula, which implies, as applications, twelve multiple q-identit…