25 citations · 26 across the 9 of their papers we have counts for
11 papers
A bijection between two subfamilies of Motzkin paths
Nancy S. S. Gu, Helmut Prodinger
Two subfamilies of Motzkin paths, with the same numbers of up, down, horizontal steps were known to be equinumerous with ternary trees and related objects. We construct a bijection…
Combinatorics on lattice paths in strips
Nancy S. S. Gu, Helmut Prodinger
For lattice paths in strips which begin at and have only up steps and down steps , let denote the…
Four identities related to third order mock theta functions
Su-Ping Cui, Nancy S. S. Gu, Chen-Yang Su
Ramanujan presented four identities for third order mock theta functions in his Lost Notebook. In 2005, with the aid of complex analysis, Yesilyurt first proved these four identiti…
Congruences for the dots bracelet partition functions
Suping Cui, Nancy S. S. Gu
By finding the congruent relations between the generating function of the 5 dots bracelet partitions and that of the 5-regular partitions, we get some new congruences modulo 2 for…
Arithmetic properties of the -regular partitions
Suping Cui, Nancy Shanshan Gu
For a given prime , we study the properties of the -dissection identities of Ramanujan's theta functions and , respectively. Then as applications, we find many…
Generating functions from the viewpoint of Rota-Baxter algebras
Nancy Shanshan Gu, Li Guo
We study generating functions in the context of Rota-Baxter algebras. We show that exponential generating functions can be naturally viewed in a very special case of complete free…