Irregular Singularity
المؤلف:
Arfken, G
المصدر:
"Singular Points." §8.4 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press
الجزء والصفحة:
...
13-6-2018
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Irregular Singularity
Consider a second-order ordinary differential equatio
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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