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.
References in periodicals archive ?
If the coefficient of the first derivative has at most single poles and the coefficient of the term without a derivative has at most double poles when the coefficient of the second derivative is unity, this second-order differential equation has regular singularities, which gives us one regular solution while expanding around this singular point.
The radial equation has five regular singularities, which reduce to hypergeometric functions in the near-horizon extremal limit [92].
This operator has two regular singularities at zero and one and an irregular singularity at infinity, the singularity structure of the confluent Heun equation.