# Overpartitions with bounded part differences

## TL;DR

This paper extends previous research on overpartitions with limited differences between the largest and smallest parts, providing new analytical and combinatorial proofs.

## Contribution

It generalizes existing results on overpartitions with bounded part differences, offering both analytical and combinatorial approaches.

## Key findings

- Generalized previous results on overpartitions
- Provided new analytical proofs
- Developed combinatorial proofs

## Abstract

We generalize recent results of Breuer and Kronholm, and Chern on partitions and overpartitions with bounded differences between largest and smallest parts. We prove our generalization both analytically and combinatorially.