An indicial equation is the algebraic equation for the leading exponent of a power-law or Frobenius solution near a regular singular point.
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.
An indicial exponent is a root of the indicial equation at a regular singular point. It gives the leading local power in a Frobenius method; resonant roots can require logarithmic terms.

Ancestors (11)

  1. Power-law ansatz
  2. General solution of an Euler-Cauchy equation
  3. Cauchy-Euler equation
  4. Second-order linear differential equation
  5. Linear ordinary differential equation
  6. Ordinary differential equation
  7. Differential equation
  8. Analysis
  9. Area of mathematics
  10. Mathematics
  11. Home

Incoming links (55)

View article source

Discussion (0) New discussion

There are no discussions about this article yet.

Articles by others on the same topic (0)

There are currently no matching articles.
See all articles in the same topic Create my own version