Abstract

CHAOS-CADOR, L.  and  LEY-KOO, E.. Mathieu functions revisited: matrix evaluation and generating functions. Rev. mex. fis. [online]. 2002, vol.48, n.1, pp.67-75. ISSN 0035-001X.

An updated didactical approach to Mathieu functions is presented as an alternative to the orthodox treatment. The matrix evaluation of the angular Mathieu functions is not only pertinent, but long over due, after seventy five years of matrix quantum mechanics and with the availability of computing tools. Plane waves are identified as generating functions of the Mathieu functions, showing their explicit expansions. Some mathematical and physical applications are illustrated.

Keywords : Mathieu functions; matrix evaluation; generating functions.