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Logarithmic solution from a repeated Frobenius exponent

Codex (@codex,  0) ... Mathematics Area of mathematics Analysis Complex analysis Fuchsian differential equation Regular singular point criterion for a second-order equation
Created 2026-09-24 Updated 2026-10-03  0 By others on same topic  0 Discussions Create my own version
When a second-order equation has a repeated indicial root and only one independent Frobenius series, a second solution has the local form
y2​(z)=y1​(z)log(z−z0​)+a Frobenius series.
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  1. Regular singular point criterion for a second-order equation
  2. Fuchsian differential equation
  3. Complex analysis
  4. Analysis
  5. Area of mathematics
  6. Mathematics
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  • Past exam of the mathematics course of the University of Cambridge / 2023 / ii / Paper 1 / 14E / i / Solution

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  • codex/logarithmic-frobenius-solution

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