\documentclass[a4paper,10pt]{article} \usepackage{amsmath} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{graphicx} \parindent=0in \begin{document} \section{Matlab's Bessel Tools} First let's see if we can get some plots of the Bessel Function. Matlab provides several functions that solve Bessel's differential equation. A list from the help yields \\ BESSELJ(NU,Z) - Bessel function of the first kind \\ BESSELY(NU,Z) - Bessel function of the second kind \\ BESSELI(NU,Z) - Modified Bessel function of the first kind \\ BESSELK(NU,Z) - Modified Bessel function of the second kind \\ BESSELH(NU,K,Z) - Hankel function \\ AIRY(K,Z) - Airy function \\ \subsection{Bessel function of the first kind} The NU argument is the order of the Bessel function and is a real number. The domain of the function is the argument Z and is a complex number. This makes plotting with BESSELJ quite simple, for $J_{\nu}(Z)$ where $\nu = -2,-1,0,1,2$ \end{document}