Edmond Nicolas Laguerre (9 April 1834, Bar-le-Duc – 14 August 1886, Bar-le-Duc) was a French mathematician and a member of the Académie des sciences (1885). His main works were in the areas of geometry and complex analysis. He also investigated orthogonal polynomials (see Laguerre polynomials). Laguerre's method is a root-finding algorithm tailored to polynomials. He laid the foundations of a geometry of oriented spheres (Laguerre geometry and Laguerre plane), including the Laguerre transformation or transformation by reciprocal directions.

Works

Selection

  • Théorie des équations numériques, Paris: Gauthier-Villars. 1884 on Google Books
  • Oeuvres de Laguerre publ. sous les auspices de l'Académie des sciences par MM. Charles Hermite, Henri Poincaré, et Eugène Rouché. (Paris, 1898-1905) (reprint: New York : Chelsea publ., 1972 )

Extensive lists

  • More than 80 articles on Nundam.org.p

See also

  • Isotropic line
  • q-Laguerre polynomials
  • Big q-Laguerre polynomials
  • Discrete Laguerre polynomials
  • Gauss–Laguerre quadrature
  • Laguerre-Gaussian modes
  • Laguerre form
  • Laguerre formula
  • Laguerre group
  • Laguerre's method
  • Laguerre–Pólya class
  • Laguerre plane
  • Laguerre polynomials
  • Laguerre transform
  • Laguerre transformations
  • Laguerre's theorem
  • Laguerre–Forsyth invariant
  • Laguerre–Samuelson inequality
  • Laguerre–Voronoi diagram

References

  • "Nécrologie". In: Nouvelles annales de mathématiques, 3rd series, vol. 8 (1889), p. 494–496—Obituary