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 Spherical wave transformation#Transformation by reciprocal directions, transformation by reciprocal directions.
Works
Selection
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Théorie des équations numériques', Paris: Gauthier-Villars. 1884 on Google Books
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Oeuvres de Laguerrepubl. 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 articleson Nundam.org.p
See also
* Isotropic line
* q-Laguerre polynomials, ''q''-Laguerre polynomials
* Big q-Laguerre polynomials, Big ''q''-Laguerre polynomials
* Meixner polynomials, Discrete Laguerre polynomials
* Gauss–Laguerre quadrature
* Gaussian beam#Laguerre-Gaussian modes, Laguerre-Gaussian modes
* Laguerre form
* Laguerre formula
* Spherical wave transformation#Laguerre group isomorphic to Lorentz group, Laguerre group
* Laguerre's method
* Laguerre–Pólya class
* Laguerre plane
* Laguerre polynomials
* Laguerre transform
* Laguerre transformations
* Power of a point#Laguerre's theorem, Laguerre's theorem
* Laguerre–Forsyth invariant
* Samuelson's inequality, Laguerre–Samuelson inequality
* Power diagram, Laguerre–Voronoi diagram
References
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Nécrologie. In: ''Nouvelles Annales de Mathématiques, Nouvelles annales de mathématiques'', 3rd series, vol. 8 (1889), p. 494–496—Obituary
External links
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{{DEFAULTSORT:Laguerre, Edmond Nicolas
1834 births
1886 deaths
People from Bar-le-Duc
École Polytechnique alumni
Academic staff of the Collège de France
Members of the French Academy of Sciences
19th-century French mathematicians