Lazarus Fuchs
Lazarus Immanuel Fuchs (5 May 1833 – 26 April 1902) was a Jewish-German mathematician who contributed important research in the field of linear differential equations. He was born in Moschin (Mosina) (located in Grand Duchy of Posen) and died in Berlin, Germany. He was buried in Schöneberg in the St. Matthew's Cemetery. His grave in section H is preserved and listed as a grave of honour of the State of Berlin.He is the eponym of Fuchsian groups and functions, and the Picard–Fuchs equation. A singular point ''a'' of a linear differential equation : is called Fuchsian if ''p'' and ''q'' are meromorphic around the point ''a'', and have poles of orders at most 1 and 2, respectively. According to a theorem of Fuchs, this condition is necessary and sufficient for the regularity of the singular point, that is, to ensure the existence of two linearly independent solutions of the form : where the exponents can be determined from the equation. In the case when is an integer this formula has to be modified.
Another well-known result of Fuchs is the ''Fuchs's conditions'', the necessary and sufficient conditions for the non-linear differential equation of the form : to be free of movable singularities.
An interesting remark about him as a teacher during the period of his work at the Heidelberg University pertains to his manner of lecturing: his knowledge of the mathematics he was assigned to teach was so deep that he would not prepare before giving a lecture — he would simply improvise on the spot, while exposing the students to the train of thought taken by mathematicians of the finest degree.
Lazarus Fuchs was the father of Richard Fuchs, a German mathematician. Provided by Wikipedia
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Über einige Thatsachen in der mathematischen Forschung des neunzehnten Jahrhunderts Rede zur Gedächtnissfeier des Stifters der Berliner Universität König Friedrich Wilhelm III in d... by Fuchs, Lazarus, 1833-1902
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Über das Verhältniss der exacten Naturwissenschaft zur Praxis by Fuchs, Lazarus, 1833-1902
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De superficierum lineis curvaturae by Fuchs, Lazarus, 1833-1902
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Gesammelte mathematische Werke von L. Fuchs by Fuchs, Lazarus 1833-1902
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Gesammelte mathematische Werke von L. Fuchs by Fuchs, Lazarus 1833-1902
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Gesammelte mathematische Werke von L. Fuchs by Fuchs, Lazarus 1833-1902
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Gesammelte mathematische Werke. by Fuchs, Lazarus, 1833-1902
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Gesammelte mathematische Werke. by Fuchs, Lazarus, 1833-1902
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Gesammelte mathematische Werke. by Fuchs, Lazarus, 1833-1902
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Über einige Thatsachen in der mathematischen Forschung des neunzehnten Jahrhunderts Rede ... by Fuchs, Lazarus 1833-1902
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Zur Theorie der linearen Differenzialgleichungen mit veränderlichen Coefficienten von L. Fuchs by Fuchs, Lazarus 1833-1902
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Ueber den Zusammenhang zwischen Cometen und Sternschnuppen Rede gehalten am Königsgeburtstag in der Aula der Universität Greifswald by Fuchs, Lazarus 1833-1902
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Ueber Funktionen zweier Variabeln, welche durch Umkehrung der Integrale zweier gegebener Funktionen entstehn by Fuchs, Lazarus 1833-1902
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Integration der Differentialgleichungen : Winter 1884/85 / by Fuchs, Lazarus, 1833-1902
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Über das Verhältniss der exacten Naturwissenschaft zur Praxis : Rede bei Antritt des Rectorates gehalten in der Aula der Königlichen Friedrich-Wilhelms-Universität am 15. October 1... by Fuchs, Lazarus, 1833-1902
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Über einige Thatsachen in der mathematischen Forschung des neunzehnten Jahrhunderts : Rede zur Gedächtnissfeier des Stifters der Berliner Universität König Friedrich Wilhelm III in... by Fuchs, Lazarus, 1833-1902
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De superficierum lineis curvaturae / by Fuchs, Lazarus, 1833-1902
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Lineare Differentialgleichungen / by Fuchs, Lazarus, 1833-1902
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Partielle lineare Differentialgleichungen nebst Anwendung auf physikalische Probleme : W.S. 1899/1900, Heft I / by Fuchs, Lazarus, 1833-1902
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Über einige Thatsachen in der mathematischen Forschung des neunzehnten Jahrhunderts : Rede zur Gedächtnissfeier des Stifters der Berliner Universität König Friedrich Wilhelm III in... by Fuchs, Lazarus, 1833-1902
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