A new method to compute Mathieu functions
- 21 August 1994
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 27 (16) , 5565-5571
- https://doi.org/10.1088/0305-4470/27/16/021
Abstract
We propose to evaluate the Mathieu functions by their modulus and phase. The modulus is independent of the characteristic exponent. In our approach, this exponent can be evaluated by integration of a first-order differential equation. For the Hamiltonian of the time-dependent harmonic oscillator, we do not need this exponent, only the modulus.Keywords
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