Generating functions for vector partition functions and a basic recurrence relation
Complex Variables
2019-09-05 v1 Combinatorics
Dynamical Systems
Abstract
We define a generalized vector partition function and derive an identity for generating series of such functions associated with solutions of basic recurrence relation of combinatorial analysis. As a consequence, we obtain the generating function of the number of generalized lattice paths and a new version of Chaundy-Bullard identity for the vector partition function.
Cite
@article{arxiv.1907.12073,
title = {Generating functions for vector partition functions and a basic recurrence relation},
author = {Alexander P. Lyapin and Sreelatha Chandragiri},
journal= {arXiv preprint arXiv:1907.12073},
year = {2019}
}
Comments
10 pages. The article will appear in JDEA - Journal of Difference Equations and Applications (GDEA 1649396)