# An urn model associated with the Jacobi polynomials

**Authors:** F. Alberto Gr\"unbaum

arXiv: 0908.3894 · 2009-08-28

## TL;DR

This paper introduces an urn model that results in a random walk explicitly solvable using Jacobi polynomials, linking combinatorial models with special functions.

## Contribution

The paper presents a novel urn model connected to Jacobi polynomials, providing explicit solutions for the associated random walk.

## Key findings

- Explicit solution for the random walk using Jacobi polynomials
- New connection between urn models and special functions
- Potential applications in probabilistic modeling

## Abstract

We consider an urn model leading to a random walk that can be solved explicitly in terms of the well known Jacobi polynomials.

## Full text

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## References

20 references — full list in the complete paper: https://tomesphere.com/paper/0908.3894/full.md

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Source: https://tomesphere.com/paper/0908.3894