Irregular Singularity
Consider a second-order Ordinary Differential Equation
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 Infinity as , or diverges more quickly than 
so that
goes to Infinity as , then is called an Irregular Singularity (orEssential Singularity).See also Ordinary Point, Regular Singular Point, Singular Point (Differential Equation)
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.
- Ferrers' Function
- Ferrier's Prime
- Feuerbach Circle
- Feuerbach Point
- Feuerbach's Conic Theorem
- Feuerbach's Theorem
- Feynman Point
- FFT
- Fiber
- Fiber Bundle
- Fiber Space
- Fibonacci Dual Theorem
- Fibonacci Hyperbolic Cosine
- Fibonacci Hyperbolic Cotangent
- Fibonacci Hyperbolic Sine
- Fibonacci Hyperbolic Tangent
- Fibonacci Identity
- Fibonacci Matrix
- Fibonacci n-Step Number
- Fibonacci Number
- Fibonacci Polynomial
- Fibonacci Pseudoprime
- Fibonacci Q-Matrix
- Fibonacci Sequence
- Fibration