regular singular point

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regular singular point

[′reg·yə·lər ¦siŋ·gyə·lər ′pȯint]
(mathematics)
A regular singular point of a differential equation is a singular point of the equation at which none of the solutions has an essential singularity.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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Costin (mathematics, Ohio State U.) has written this textbook on asymptotic analysis and Borel summation for advanced students in mathematics and physics, and provides a unique perspective on these topics by analyzing ordinary differential equations near a generic irregular singular point. The author reviews the Laplace method, Watson's lemma and Banach spaces so that readers can continue on a more advanced level of independent study.