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Fuchs's Theorem


At least one power series solution will be obtained when applying the Frobenius method if the expansion point is an ordinary, or regular, singular point. The number of roots is given by the roots of the indicial equation.


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References

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

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Fuchs's Theorem

Cite this as:

Weisstein, Eric W. "Fuchs's Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/FuchssTheorem.html

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