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Lazarus Immanuel Fuchs (5 May 1833 – 26 April 1902) was a German mathematician. He was born in Mosina (located in Grand Duchy of Poznań) and died in Berlin, Germany.

He is the eponym of Fuchsian groups and functions, and the Picard-Fuchs equation; Fuchsian differential equations are those with regular singularities. Fuchs is also known for Fuchs's theorem which states that if x0 is a regular singular point then the differential equation

has at least one solution of the form

for some σ to be determined. In some cases, there will be two linearly independent solutions of that form.

Selected works

* Über Funktionen zweier Variabeln, welche durch Umkehrung der Integrale zweier gegebener Funktionen entstehen, Göttingen 1881.
* Zur Theorie der linearen Differentialgleichungen, Berlin 1901.
* Gesammelte Werke, Hrsg. von Richard Fuchs und Ludwig Schlesinger. 3 Bde. Berlin 1904-1909.

External links

* Jeremy Gray Fuchs and the theory of differential equations, Bulletin AMS, Vol.10, 1984, p.1
* O'Connor, John J.; Robertson, Edmund F., "Lazarus Fuchs", MacTutor History of Mathematics archive, University of St Andrews, .
* Lazarus Fuchs at the Mathematics Genealogy Project


Mathematics Encyclopedia

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