Fuchs's Theorem

At least one Power Series solution will be obtained when applying the Frobenius Method if the expansion point isan ordinary, or regular, Singular Point. The number of Roots is given bythe Roots of the Indicial Equation.

References

Arfken, G. Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 462-463, 1985.

• Elliptic Cone
• Elliptic Cone Point
• Elliptic Curve
• Elliptic Curve Factorization Method
• Elliptic Curve Group Law
• Elliptic Curve Primality Proving
• Elliptic Cylinder
• Elliptic Cylindrical Coordinates
• Elliptic Delta Function
• Elliptic Exponential Function
• Elliptic Fixed Point (Differential Equations)
• Elliptic Fixed Point (Map)
• Elliptic Function
• Elliptic Functional
• Elliptic Geometry
• Elliptic Group Modulo p
• Elliptic Helicoid
• Elliptic Hyperboloid
• Elliptic Integral
• Elliptic Integral of the First Kind
• Elliptic Integral of the Second Kind
• Elliptic Integral of the Third Kind
• Elliptic Integral Singular Value
• Elliptic Integral Singular Value k1
• Elliptic Integral Singular Value k2