# Constant Mean Curvature Surfaces For The Bessel Equation

## TL;DR

This paper constructs a family of constant mean curvature surfaces in three-dimensional space derived from the Bessel equation, expanding the understanding of geometric structures related to special functions.

## Contribution

It introduces a novel method to generate constant mean curvature surfaces using solutions to the Bessel equation, linking differential equations with geometric surface theory.

## Key findings

- Constructed explicit immersions with constant mean curvature
- Connected Bessel equation solutions to geometric surface models
- Provided new examples of CMC surfaces from special functions

## Abstract

In this note we construct a family of immersions with constant mean curvature of the twice-punctured Riemann sphere into R^3 from the Bessel equation.