# Arboretum for a generalization of Ramanujan polynomials

## TL;DR

This paper generalizes Ramanujan polynomials by establishing combinatorial interpretations through bijections with various types of trees, expanding understanding of their structure and relationships.

## Contribution

It introduces a new combinatorial framework linking Ramanujan polynomial generalizations to Greg, Cayley, and planar trees via bijections.

## Key findings

- Established bijections preserving tree statistics
- Connected Ramanujan polynomials to multiple tree families
- Provided combinatorial interpretations for polynomial generalizations

## Abstract

In this paper, we expand on the work of Guo and Zeng from 2007 on a generalization of the Ramanujan polynomials and planar trees. We manage to find combinatorial interpretations of this family of polynomials in terms of Greg trees, Cayley trees, and planar trees by constructing bijections that preserve relevant tree statistics.