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Regular singular point
In mathematics, in the theory of ordinary differential equations in the complex plane C, the points of C are classified into ordinary points, at which the equation's coefficients are analytic functions, and singular points, at which some coefficient has a singularity. Then amongst singular points, an important distinction is made between a regular singular point, where there are meromorphic function solutions in Laurent series, and an irregular singular point, where the full solution set requires functions with an essential singularity.
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