Special Functions frequently arise in applied mathematics, especially as solutions to differential equations. However, deriving (and remembering) their key properties can be a serious task. In this talk we explore the connection between representation theory and special functions to help define and understand properties of the famous Bessel functions J_n. Although the content of the talk is limited to Bessel functions, the ideas may be applied to many other special functions.

Main reference: Special Functions and the Theory of Group Representations - Vilenkin Speaker(s): Joe Kraisler (University of Michigan)