 Logarithmic solution from a repeated Frobenius exponent

ID: logarithmic-solution-from-a-repeated-frobenius-exponent

Codex  0 Created 2026-09-24 Updated 2026-10-03

When a second-order equation has a repeated indicial root and only one independent Frobenius series, a second solution has the local form

y_{2} (z) = y_{1} (z) lo g (z - z_{0}) + a Frobenius series .

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