# Hypergeometric identities arising from the elephant random walk

## TL;DR

This paper introduces new hypergeometric identities derived from analyzing the moments of the elephant random walk's limiting distribution in a superdiffusive regime, using a probabilistic approach.

## Contribution

It presents a novel probabilistic method to establish hypergeometric identities based on the elephant random walk model.

## Key findings

- Derivation of new hypergeometric identities
- Analysis of moments of the elephant random walk's distribution
- Application of probabilistic techniques to combinatorial identities

## Abstract

A probabilistic approach is provided to establish new hypergeometric identities. It is based on the calculation of moments of the limiting distribution of the position of the elephant random walk in the superdiffusive regime.