Edmond Nicolas Laguerre (1834 to 1886) was a French mathematician born and buried in Bar-le-Duc, and a member of the Académie des sciences from 1885. His main work lay in geometry and complex analysis. He investigated orthogonal polynomials, and the Laguerre polynomials carry his name, as does Laguerre's method, a root-finding algorithm tailored to polynomials. He introduced the notion of the genus of an entire function. In geometry he laid foundations for a geometry of oriented spheres, giving rise to the Laguerre geometry, the Laguerre plane and the Laguerre transformation, or transformation by reciprocal directions. His collected works were edited by Charles Hermite, Henri Poincaré and Eugène Rouché and published between 1898 and 1905.
Facts
Defining ContributionBest remembered for the Laguerre polynomials, solutions of the Laguerre differential equation 2 Connections
Attributed Works
Source Laguerre Polynomials (Wikipedia)
In Branch
Source Edmond Laguerre (Wikipedia)
Source Edmond Laguerre (Wikipedia)
Principal Result
Source Edmond Laguerre (Wikipedia)
In the Other Atlases
Nationality
Also in Geography Atlas: the nationality of this subject.
Source Edmond Laguerre (Wikipedia)Lead, nationalityQuote, Lead, nationality
was a French mathematician and a member of the Académie des sciences (1885)
Sources
1. Edmond Laguerre (Wikipedia)
Lead, dates
Edmond Nicolas Laguerre (9 April 1834, Bar-le-Duc, 14 August 1886, Bar-le-Duc)
Lead, pronoun
He also investigated orthogonal polynomials
Lead, nationality
was a French mathematician and a member of the Académie des sciences (1885)
In Branch: Complex Analysis, Lead, areas of work
His main works were in the areas of geometry and complex analysis.
In Branch: Geometry, Lead, areas of work (geometry)
His main works were in the areas of geometry and complex analysis.
Principal Result: Laguerre Polynomials, Lead, Laguerre polynomials
He also investigated orthogonal polynomials (see Laguerre polynomials).
View the Source2. MacTutor History of Mathematics: Edmond Laguerre (MacTutor)
MacTutor History of MathematicsBiography, summary of his workQuote, Biography, summary of his work
Laguerre studied approximation methods and is best remembered for the special functions the Laguerre polynomials which are solutions of the Laguerre differential equations.
Laguerre Polynomials (Wikipedia)
Attributed Works: Laguerre Polynomials, Lead sentenceQuote, Attributed Works: Laguerre Polynomials, Lead sentence
In mathematics, the Laguerre polynomials, named after Edmond Laguerre (1834-1886), are nontrivial solutions of Laguerre's differential equation: x y ″ + ( 1 − x ) y ′ + n y = 0 , y = L ( x ) {\displaystyle xy''+(1-x)y'+ny=0,\ y=L(x)} which is a second-order linear differential equation.
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