An indicial root is a root of the indicial equation obtained from a power-law ansatz. For a Cauchy-Euler differential equation, such roots give the exponents of its power solutions. Their sign determines which modes remain bounded near a singular endpoint.
Ancestors (12)
- Indicial equation
- Power-law ansatz
- General solution of an Euler-Cauchy equation
- Cauchy-Euler equation
- Second-order linear differential equation
- Linear ordinary differential equation
- Ordinary differential equation
- Differential equation
- Analysis
- Area of mathematics
- Mathematics
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Incoming links (29)
- Causal Green function for a repeated-root Euler operator
- First correction to a regular singular solution by reduction of order
- Frobenius case classification
- Frobenius resonance for an Euler equation with monomial potential
- Frobenius series for the Laguerre differential equation
- Hypergeometric Frobenius recurrence
- Indicial root
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- Undetermined coefficient at Frobenius resonance
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