37 citations
- Institut Camille JordanFR17 papers
- Centre National de la Recherche ScientifiqueFR13 papers
- Bouygues (France)FR4 papers
- Lyon CollegeUS4 papers
- Nankai UniversityCN4 papers
- Centre de Recherche Astrophysique de LyonFR3 papers
- Institute of Nuclear Physics of LyonFR2 papers
- Laboratoire de physique de la matière condenséeFR2 papers
- Laboratoire de Réactivité et Chimie des SolidesFR2 papers
- Observatoire de LyonFR2 papers
- Tottori UniversityJP2 papers
- Université de BourgogneFR2 papers
5 papers · 2 filters
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…