Link to this article: http://journals.cambridge.org/abstract_S0956792502004916How to cite this article: A. V. SHANIN and R. V. CRASTER (2002). Removing false singular points as a method of solving ordinary differential equations.A general formalism is described whereby some regular singular points are effectively removed and substantial simplifications ensue for a class of Fuchsian ordinary differential equations, and related confluent equations. These simplifications follow provided the exponents at the singular points satisfy certain relations; explicit, illustrative examples are constructed to demonstrate the ideas.

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