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Date: 5-7-2018
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Consider a second-order ordinary differential equatio
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If and remain finite at , then is called an ordinary point. If either or diverges as , then is called a singular point. If diverges more quickly than , so approaches infinityas , or diverges more quickly than so that goes to infinity as , then is called an irregular singularity (or essential singularity).
REFERENCES:
Arfken, G. "Singular Points." §8.4 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 451-453 and 461-463, 1985.
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