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Topic: Edmond Laguerre

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Laguerre polynomials

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	Laguerre biography
		Laguerre was pictured by his contemporaries as a quiet, gentle man who was passionately devoted to his research, his teaching, and the education of his two daughters.
		Laguerre wrote 140 memoirs which he published in the leading journals of his time so it is reasonable to ask why he is only known for the results mentioned specifically above.
		Laguerre, on the other hand, proved the addition theorem with the help of anallagmatic curves using Poncelet's theorem on inscribed and circumscribed polygons to two conics.
	www-history.mcs.st-and.ac.uk /history/Biographies/Laguerre.html (965 words)

	Edmond Nicolas Laguerre
		After graduating in 1854, Laguerre joined the military and was commissioned as an artillery officer.
		Laugerre did important work in the realms of approximation methods, geometry, complex analysis, and is best known for his work in orthogonal polynomials, in which he developed Laguerre polynomials.
		Laguerre polynomials are solutions of the Lauguerre differential equations, published in 1879.
	www.danielcromer.com /resources/mathematicians/Laguerre.htm (161 words)

	Laguerre polynomials - Wikipedia, the free encyclopedia
		The polynomials may be expressed in terms of a contour integral
		The generalized Laguerre polynomials are related to the Hermite polynomials:
		Because of this, the generalized Laguerre polynomials arise in the treatment of the quantum harmonic oscillator.
	en.wikipedia.org /wiki/Laguerre_polynomials (443 words)

	Portal de matematica
		He went on to investigate properties of the polynomials, proving orthogonality relations and also showing that an arbitrary function could be expanded in a ' Fourier type' series in Laguerre polynomials.
		Despite this assessment (which must be considered as rather harsh), there is still interest in Laguerre's work as is seen for example in where the following is discussed:-
		Laguerre, on the other hand, proved the addition theorem with the help of anallagmatic curves using Poncelet 's theorem on inscribed and circumscribed polygons to two conics.
	www.learn-math.info /historyDetail.do?id=Laguerre (909 words)

	Laguerre polynomials (Site not responding. Last check: 2007-10-11)
		In mathematics, the Laguerre polynomials, named after Edmond Laguerre (1834 - 1886), are a polynomial sequence defined by :
		The generalized Laguerre polynomials arise in the treatment of the quantum harmonic oscillator, due to their Relation to the Hermite polynomials, which can be expressed as :
		The Laguerre polynomials may be defined in terms of hypergeometric functions, specifically the confluent hypergeometric functions, as :
	laguerre-polynomials.iqnaut.net (291 words)

	Portrait de Maxime Laguerre>
		Maxime Laguerre vit dans le Monde réel comme un poisson dans l'eau alors qu'un grand nombre de nos contemporains vit déjà dans un monde virtuel.
		Maxime Laguerre disait avec simplicité et élégance des choses que je pensais tout bas sans avoir le talent de les énoncer aussi clairement.
		Ayant pris un certain recul, Maxime Laguerre nous fait part de ses réflexions sur notre société, notre civilisation, notre destinée, dans des ouvrages nourris par son expérience personnelle et les observations de toute une vie.
	www.apophtegme.com /IDEES/LAGUERRE/lag00.htm (932 words)

	Laguerre polynomials - One Language (Site not responding. Last check: 2007-10-11)
		In mathematics, the Laguerre polynomials, named after Edmond Laguerre (1834 - 1886), are a polynomial sequence defined by
		These polynomials are orthogonal to each other with respect to the inner product given by
		The Laguerre polynomials are defined in terms of confluent hypergeometric functions as:
	www.onelang.com /encyclopedia/index.php/Laguerre_polynomials (200 words)

	Reference.com/Encyclopedia/Laguerre polynomials (Site not responding. Last check: 2007-10-11)
		Physicists often use a definition for the Laguerre polynomials that is larger, by a factor of
		Differentiating the power series representation of a generalized Laguerre polynomial
		Eric W. Weisstein, " Laguerre Polynomial", From MathWorld--A Wolfram Web Resource.
	www.reference.com /browse/wiki/Laguerre_polynomials (559 words)

	MATHFUNC (Site not responding. Last check: 2007-10-11)
		The solution of this ODE(corresponding to the Laguerre polynomials) is the Kummer series y1=M(-n,1,x)=1-nx+(-n)(-n+1)x^2/(12*2!)+.
		The polynomials are orthogonal in 0
		Edmond Laguerre(1834-1886) was a professor at the Ecole Polytechnique in Paris who specialized in analysis and geometry.
	aemes.mae.ufl.edu /~uhk/MATHFUNC.htm (15365 words)

	Laguerre (Site not responding. Last check: 2007-10-11)
		His work in geometry was important at the time but has been overtaken by Lie group theory, Cayley's work and Klein's work.
		Laguerre studied approximation methods and is best remembered for the special functions the Laguerre polynomials which are solutions of the Laguerre differential equations.
		Tell me about Laguerre's work on abstract linear spaces
	www.tam.cornell.edu /courses/310Sp97/Lec12Feb/Laguerre.html (163 words)

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