The Double Points of Mathieu's Differential Equation

Abstract

Abstract. Mathieu's differential equation, y" + (a — 2q cos 2x)y = 0, admits of solutions of period ir or 2x for four countable sets of characteristic values, aiq), which can be ordered as ariq), r = 0, 1, • • -. The power series expansions for the ariq) converge up to the first double point for that order in the complex plane. [At a double point, ar(g… (More)

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Cite this paper

@inproceedings{Clemm2010TheDP, title={The Double Points of Mathieu's Differential Equation}, author={Donald S. Clemm}, year={2010} }