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A Note on DeMoivre's Quintic Equation

Mathematical Physics 2009-07-21 v1 math.MP

Abstract

The quintic equation with real coefficients x5+5ax3+5a2x+b=0x^5+5ax^3+5a^2x+b=0 is solved in terms of radicals and the results used to sum a hypergeometric series for several arguments.

Cite

@article{arxiv.0907.3232,
  title  = {A Note on DeMoivre's Quintic Equation},
  author = {M. L. Glasser},
  journal= {arXiv preprint arXiv:0907.3232},
  year   = {2009}
}

Comments

6 pages

R2 v1 2026-06-21T13:26:30.040Z