Generating functions for vector partition functions and a basic recurrence relation

@article{Lyapin2019GeneratingFF,
title={Generating functions for vector partition functions and a basic recurrence relation},
author={A. P. Lyapin and S. Chandragiri},
journal={Journal of Difference Equations and Applications},
year={2019},
volume={25},
pages={1052 - 1061}
}

ABSTRACT We define a generalized vector partition function and derive an identity for the generating series of such functions associated with solutions to basic recurrence relations of combinatorial analysis. As a consequence we obtain the generating function of the number of generalized lattice paths and a new version of the Chaundy-Bullard identity for the vector partition function.