On b-ary binomial coefficients with negative entries

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. Finall...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2019-09
Main Authors: Lin Jiu, Shi, Diane Y H
Format: Article
Language:English
Subjects:
Binomial coefficients
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2331-8422