Indicial Equation
The Recurrence Relation obtained during application of the Frobenius Method of solving a second-order ordinarydifferential equation. The indicial equation (also called the Characteristic Equation) is obtained by noting that,by definition, the lowest order term 
(that corresponding to 
) must have a Coefficient of zero. For anexample of the construction of an indicial equation, see Bessel Differential Equation.
- 1. If the two Roots are equal, only one solution can be obtained.
- 2. If the two Roots differ by a noninteger, two solutions can be obtained.
- 3. If the two Roots differ by an Integer, the larger will yield a solution. The smaller may or may not.
References
Morse, P. M. and Feshbach, H. Methods of Theoretical Physics, Part I. New York: McGraw-Hill, pp. 532-534, 1953.
- Centroid (Geometric)
- Centroid (Orthocentric System)
- Centroid (Triangle)
- Certificate of Compositeness
- Certificate of Primality
- Cesàro Equation
- Cesàro Fractal
- Cesàro Mean
- Ceva's Theorem
- Cevian
- Cevian Conjugate Point
- Cevian Transform
- Cevian Triangle
- Chain
- Chained Arrow Notation
- Chainette
- Chain Fraction
- Chain (Graph)
- Chain Rule
- Chair
- Chaitin's Constant
- Chaitin's Number
- Chaitin's Omega
- Champernowne Constant
- Change of Variables Theorem