Year: 2019
Type: preprint
Abstract: . We generalize the $b$-ary binomial coefficients with negative entries, which is based on the generating function obtained in early work. Besides an explicit expression involving the restricted partition, several properties such as symmetry, congruence and Pascal-like recurrence are studies. Finally, we also provide two different generalizations, partially satisfying Pascal-like recurrences.
Source: arXiv (Cornell University)
Authors: Jiu, Lin, Shi, Diane Y. H.
Institutions: Dalhousie University, Tianjin University
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G3723195274, G7280181258
OpenAlex ID: W2977025041