Mathieu functions revisited: matrix evaluation and generating functions

Authors

  • L. Chaos-Cador
  • E. Le
  • -Koo.

Keywords:

Mathieu functions, matrix evaluation, generating functions

Abstract

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.

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Published

2002-01-01

How to Cite

[1]
L. Chaos-Cador, E. Le, and -Koo., “Mathieu functions revisited: matrix evaluation and generating functions”, Rev. Mex. Fís., vol. 48, no. 1, pp. 67–0, Jan. 2002.

Issue

Vol. 48 No. 1 (2002): Revista Mexicana de Física.

Section

Articles

License

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.