Confluence of singularities of differential equation: a Lie algebra contraction approach
Abstract
We investigate here the confluence of singularities of Mathieu differential equation by means of the Lie algebra contraction of the Lie algebra of the motion group M(2) on the Heisenberg Lie algebra H(3). A similar approach for the Lam\'e equation in terms of the Lie algebra contraction of SO0(2,1) on the Lie algebra of the motion group M(2) is outlined.
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