Dillon, Samuel2009-08-282009-08-282006-09Department of Mathematics - Research Reports-554 (2006)1173-0889http://hdl.handle.net/2292/5155Based on the paper of Arnol'd [1] on the problems of Mathieu type, we suggest a modified Feynmann diagram technique to assist in solving problems of the form [see pdf for equation]. We then use this method to calculate eigenvalues and eigenfunctions to the polar problem, [see pdf for equation] with the quasiperiodic boundary condition on [0, 2p].https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htmArnol'd's analytic perturbation for the polar equationTechnical ReportFields of Research::230000 Mathematical Sciences::230100 MathematicsThe author(s)